The demand curve is P = 400 – 20Qp. The supply curve is P = 150 + 10QS. At market equilibrium, the equilibrium quantity is A. 0.12 B. 10 C. 233.33 D. 8.3

Answers

Answer 1

Given that the demand and supply curves are P = 400 + 20 Qp and P = 150 + 10 QS, respectively. We can find the equilibrium quantity as follows; The answer is D.

Equilibrium quantity is the point where demand and supply are equal. This implies that Qd=Qs. Substituting the equations, we get400 – 20Qp = 150 + 10QS250= 20Qp − 10Qs25 = 2Qp − Qs25 = 2(20 − Qs) − Qs25 = 40 − 3QsQs = (40 − 25)/3Qs = 5The equilibrium quantity is Qd = Qs = 5

Substituting this in the demand equation P = 400 – 20Qp, we get:P = 400 – 20(5)P = 300At the market equilibrium, the equilibrium quantity is 5 and the equilibrium price is 300 i.e. option D) 8.3. Therefore, the answer is D.

To know more about supply curves refer to:

https://brainly.com/question/26430220

#SPJ11


Related Questions

(a): How much money should you be willing to pay now for a guaranteed $900 per year for 10 years starting next year, at a rate of return of 10% per year? Draw the cash flow diagram. (b) If you to know the equivalent future worth of a $900 investment each year for 10 years, starting 1 year from now. How much money should you be willing to gain at the 10th year. Draw the cash flow diagram.

Answers

(a) To calculate the present value of receiving $900 per year for 10 years starting next year at a rate of return of 10% per year, we can use the formula for the present value of an annuity:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present ValueC = Cash flow per periodr = Interest rate per periodn = Number of periods

In this case:

C = $900r = 10% = 0.10n = 10

Plugging these values into the formula:

PV = $900 * [(1 - (1 + 0.10)^(-10)) / 0.10]PV = $900 * [(1 - (1.10)^(-10)) / 0.10]PV = $900 * [(1 - 0.3855) / 0.10]PV = $900 * [0.6145 / 0.10]PV = $900 * 6.145PV = $5,530.50

Therefore, you should be willing to pay $5,530.50 now to receive $900 per year for 10 years starting next year, at a rate of return of 10% per year.

Cash flow diagram:

```

Year 0 (Now):   -5530.50

Year 1:         +900

Year 2:         +900

Year 3:         +900

...

Year 10:        +900

```

(b) To calculate the equivalent future worth of a $900 investment each year for 10 years, starting 1 year from now, we can use the formula for the future value of an annuity:

FV = C * [(1 + r)^n - 1] / r

Where:

FV = Future ValueC = Cash flow per periodr = Interest rate per periodn = Number of periods

In this case:

C = $900r = 10% = 0.10n = 10

Plugging these values into the formula:

FV = $900 * [(1 + 0.10)^10 - 1] / 0.10FV = $900 * [(1.10)^10 - 1] / 0.10FV = $900 * [2.5937 - 1] / 0.10FV = $900 * 1.5937 / 0.10FV = $900 * 15.937FV = $14,343.30

Therefore, you should be willing to gain $14,343.30 at the 10th year in exchange for a $900 investment each year for 10 years, starting 1 year from now.

Cash flow diagram:

```

Year 1:         -900

Year 2:         -900

Year 3:         -900

...

Year 9:         -900

Year 10:        +14343.30

```

Please note that the cash flow diagrams illustrate the cash flows associated with each scenario, with negative values representing payments and positive values representing receipts.

About investment

Investment is an investment activity, either directly or indirectly, with the hope that in the future the owner of the capital will receive a number of benefits from the results of the investment.

Learn More About investment at brainly.com/question/29547577

#SPJ11

PARTS 2 and 3 PLEASE. DO NOT NEED PART 1
Denzel Brooks opened a Web consulting business called Venture Consultants and completed the following transactions in March, March 1 Brooks invested $170,000 cash along with $23,000 in office equipmen

Answers

PART 2March 1Brooks invested $170,000 cash along with $23,000 in office equipment for use in the business.

As per the given question, Denzel Brooks opened a web consulting business called Venture Consultants and completed various transactions in March 1. He invested $170,000 cash along with $23,000 in office equipment for use in the business.

Thus, the office equipment's cost is $23,000. It will be added to the asset section of the balance sheet. The cash is a business asset that will be used to purchase more equipment or to cover other business expenses.

Learn more about business visit:

brainly.com/question/13160849

#SPJ11

Describe and evaluate one or two communication issues you noticed or experienced. Confronted head-on What occurred? Recommend some strategies for overcoming obstacles or challenges. On the purchaser and IT support specialist position.

Answers

As a purchaser and IT support specialist, there are a number of communication issues that may arise.

One such issue is a lack of understanding between the two departments. In this case, the IT support specialist may not fully understand the needs of the purchaser, leading to delays or misunderstandings.

Another communication issue could be a breakdown in communication due to conflicting priorities. In this case, the purchaser may be focused on acquiring the necessary hardware and software, while the IT support specialist may be focused on maintaining existing systems and infrastructure.

To overcome these challenges, it is important to confront them head-on. This means taking the time to listen to the concerns and needs of both departments and working together to find solutions.

One strategy for overcoming these challenges is to establish clear lines of communication between the purchaser and IT support specialist. This can be done through regular meetings, emails, or other forms of communication.

Another strategy is to establish a clear set of priorities for both departments. This can help ensure that both departments are working towards the same goals and that their efforts are aligned. Finally, it may be helpful to bring in outside consultants or experts to provide additional support and guidance as needed.

To know more about communication issues click on below link:

https://brainly.com/question/30581257#

#SPJ11

: 2. If a material is defined at both a distribution center and a production plant, what will be the procurement type in the MRP2 data view for each? 3. What is the purpose of the Procurement Type field in the MRP2 data view? 4. List at least 3 business process issues or complications that may arise regarding the Material Master?

Answers

It is essential to keep the Material Master data up-to-date to ensure that the correct materials are procured and used in production.

2. If a material is defined at both a distribution center and a production plant, the procurement type in the MRP2 data view for each will differ. For the distribution center, the procurement type will be E (external procurement), while for the production plant, the procurement type will be either F (in-house production) or E (external procurement).

3. The purpose of the Procurement Type field in the MRP2 data view is to define how the material will be procured. This field determines whether a material will be procured externally or produced in-house. It is an essential factor in the MRP process because it enables the system to determine the correct source of supply.

4. Three business process issues or complications that may arise regarding the Material Master are:

1. Data accuracy issues: Material Master data can be entered manually, and if entered incorrectly, it can cause significant problems in business processes. Inaccurate data can lead to inventory issues, supply chain disruptions, and increased costs.

2. Lack of standardization: Different departments may use different naming conventions, abbreviations, or other methods of categorizing materials, which can lead to confusion and errors. Standardizing Material Master data across the organization can help improve efficiency and reduce errors.

3. Changes in material specifications: Material specifications can change over time due to various factors such as regulatory requirements or changes in customer needs. It is essential to keep the Material Master data up-to-date to ensure that the correct materials are procured and used in production.

To know more about procurement visit:

https://brainly.com/question/30019470

#SPJ11

which statement is not true regarding the total variable cost curve? a. the total variable cost curve increases as output increases. b. the total variable cost curve shows the variable costs of production given current factor prices. c. the total variable cost curve is a horizontal line. d. the total variable cost curve starts at the origin.

Answers

The statement that is not true regarding the total variable cost curve is "the total variable cost curve is a horizontal line ( option C).

The total variable cost (TVC) curve refers to the graphical representation of the relationship between total variable cost and output in a production process. It is constructed by plotting the total variable cost against the quantity of output. The total variable cost curve can be plotted for a single product or for multiple products produced using similar production techniques. The total variable cost curve is upward sloping, indicating that as output increases, the total variable cost increases.Therefore, the option that is not true regarding the total variable cost curve is c. the total variable cost curve is a horizontal line.

You can learn more about total variable cost curve at

https://brainly.com/question/31478892

#SPJ11

Problem 05-02 (LO2, 3, 5) Large Ltd. purchased 70% of Small Company on January 1, Year 6, for $700,000, when the statement of financial position for Small showed common shares of $470,000 and retained

Answers

Problem 05-02 (LO2, 3, 5)Large Ltd. purchased 70% of Small Company on January 1, Year 6, for $700,000, when the statement of financial position for Small showed common shares of $470,000 and retained earnings of $300,000. At the date of acquisition, the fair value of the non-controlling interest was $300,000.

The following financial statements for Large and Small were prepared on December 31, Year 7:Therefore, the entries required to eliminate the investment account are as follows:

Step 1: Elimination of Investment in Small Company. The investment account will be eliminated by debiting it and crediting the equity of Small Company: Large Ltd.  will debit its Investment in Small Company account for its $700,000 investment, and Small Company will credit its Common Shares and Retained Earnings account for its common shares and retained earnings balances.

Step 2: Calculate GoodwillWhen the purchase price exceeds the fair value of the net assets acquired, goodwill is created. Goodwill is an intangible asset that represents the value of a company's brand name, customer relationships, and other unique factors. In this situation, the purchase price exceeded the fair value of Small Company's net assets by $200,000 ($700,000 - $470,000 - $300,000), which resulted in goodwill being recorded. We will record goodwill in the worksheet by debiting it and crediting the Non-Controlling Interest account. Large Ltd.  will debit Goodwill for $200,000, and Non-Controlling Interest will credit Non-Controlling Interest for $200,000.

Step 3: Elimination of Non-Controlling InterestWe will eliminate the portion of the equity accounts that belongs to the non-controlling interest. The balance of $422,800 in the Non-Controlling Interest account reflects the non-controlling interest's share of the consolidated equity.

To know more about acquisition visit :

https://brainly.com/question/32814375

#SPJ11

A project will reduce costs by $42,700 but increase depreciation by $21,100. What is the operating cash flow if the tax rate is 21 percent? Multiple Choice $28,660 $27,755 $22,330 $41,470 $38,164

Answers

Operating Cash Flow = $50,402

How to find the Operating Cash Flow

To calculate the operating cash flow, we need to consider the effect of the cost reduction and the increase in depreciation on the taxable income.

Operating Cash Flow = (Cost Reduction - Tax on Cost Reduction) + (Depreciation Increase - Tax on Depreciation Increase)

Given:

Cost Reduction = $42,700

Depreciation Increase = $21,100

Tax Rate = 21%

Calculating the tax on the cost reduction:

Tax on Cost Reduction = Cost Reduction * Tax Rate

Tax on Cost Reduction = $42,700 * 0.21

Tax on Cost Reduction = $8,967

Calculating the tax on the depreciation increase:

Tax on Depreciation Increase = Depreciation Increase * Tax Rate

Tax on Depreciation Increase = $21,100 * 0.21

Tax on Depreciation Increase = $4,431

Substituting the values into the formula for operating cash flow:

Operating Cash Flow = ($42,700 - $8,967) + ($21,100 - $4,431)

Operating Cash Flow = $33,733 + $16,669

Operating Cash Flow = $50,402

Therefore, the correct answer from the multiple-choice options is $50,402.

Learn more about Cash Flow at https://brainly.com/question/735261

#SPJ4

Where do you find a company's closing stock price on the date
(or closest date) of each financial statement on marketwatch?

Answers

MarketWatch is a web-based financial news platform that offers comprehensive financial information, including stock quotes, news, analysis, market data, and tools.

You can find a company's closing stock price on the date (or closest date) of each financial statement on MarketWatch's website by following the given instructions:

Step 1: Visit the official website of MarketWatch.

Step 2: Enter the name or symbol of the company whose stock price you want to check.

Step 3: Click on the "Quote" button.

Step 4: Scroll down to the "Historical Quotes" section and select the time frame you're interested in (e.g., daily, weekly, monthly).

Step 5: You'll see the closing stock price of the company on the date (or closest date) of each financial statement in the "Close" column.

MarketWatch is one of the most popular and comprehensive financial news platforms that provides investors with real-time quotes, breaking news, analysis, and tools to track their investments. You can easily find a company's closing stock price on the date (or closest date) of each financial statement on MarketWatch's website.The process of finding a company's closing stock price on MarketWatch is simple and straightforward. All you have to do is enter the name or symbol of the company you're interested in, click on the "Quote" button, and scroll down to the "Historical Quotes" section. From there, you can select the time frame you're interested in (e.g., daily, weekly, monthly) and see the closing stock price of the company on the date (or closest date) of each financial statement in the "Close" column.

It's worth noting that MarketWatch provides historical data for up to 20 years, which can be useful for investors who want to analyze the performance of a company over a long period of time. Additionally, MarketWatch offers a range of other tools and resources, including real-time charts, news alerts, and market data, to help investors make informed investment decisions.

MarketWatch is a reliable and comprehensive financial news platform that provides investors with valuable information, including stock quotes, news, analysis, market data, and tools. You can find a company's closing stock price on the date (or closest date) of each financial statement on MarketWatch's website by following the above steps. Additionally, MarketWatch offers a range of other tools and resources, such as historical data, real-time charts, news alerts, and market data, to help investors make informed investment decisions.

To learn more about financial news platform visit:

brainly.com/question/32571346

#SPJ11

Assume that Datawrapper has just hired you to pitch their software to the Canadian market. Write a persuasive marketing document that you could circulate to prospective purchasers, making sure that you include at least the following elements: i) an explanation of exactly what the software can be used for, ii) a detailed overview (step-by-step) of exactly how it can be used to create data visualization items, iii) a discussion of the advantages and disadvantages of this particular software versus competing software that you either know about or that you can imagine being available in the market, and iv) a devastatingly effective final summing up.

Answers

Datawrapper is a powerful data visualization software that enables users to create visually appealing and interactive data visualizations for various purposes, providing a competitive edge in the Canadian market.

How can Datawrapper software benefit the Canadian market?

Datawrapper is a versatile software that offers a wide range of applications for businesses and individuals in the Canadian market. It allows users to transform complex data into compelling visualizations that are easy to understand and engage with. Whether you need to create informative charts, graphs, maps, or interactive dashboards, Datawrapper has you covered.With Datawrapper's user-friendly interface and intuitive design, anyone can create stunning data visualizations in a few simple steps. The software provides a detailed step-by-step process, guiding users through the entire visualization creation process.

From importing data to customizing visual elements, Datawrapper ensures a seamless experience.One of the key advantages of Datawrapper is its flexibility and compatibility. It supports a wide range of data formats and allows for easy integration with popular data analysis tools, making it a valuable asset for professionals working with different data sources. Furthermore, Datawrapper offers various customization options, enabling users to tailor visualizations to their specific needs.

While considering competing software, Datawrapper stands out with its user-friendly interface, comprehensive feature set, and robust customer support. It provides an extensive library of chart types and customization options, giving users the freedom to create visually stunning and meaningful visualizations.

As for disadvantages, Datawrapper's pricing structure may vary depending on the specific needs of each user or organization. Additionally, while Datawrapper offers a rich set of features, some highly specialized requirements might necessitate additional tools or software.In conclusion, Datawrapper is an invaluable software for the Canadian market, empowering users to unlock the potential of their data through visually compelling and interactive visualizations. With its user-friendly interface, extensive customization options, and compatibility with various data formats, Datawrapper is an indispensable tool for professionals, businesses, and organizations seeking to make data-driven decisions and effectively communicate insights. how Datawrapper can revolutionize data visualization in the Canadian market.

Learn more about Canadian market

brainly.com/question/14143278

#SPJ11

Which 2 options are benefits of using the Close Books feature?(Select all that apply)
It can prevent users from accessing any information in a closed period
It can prevent users from changing transactions in a closed period
It keeps track of any changes made to closed period transactions after the closing date was set
It keeps track of any changes made to any transactions after the closing date
It generates a Closing Date Detail report

Answers

By limiting access and preventing changes, the Close Books feature ensures data accuracy and consistency.  

The benefits of using the Close Books feature are as follows:1. It can prevent users from accessing any information in a closed period2. It can prevent users from changing transactions in a closed period. Explanation: Close Books is a feature that prevents users from accessing or modifying data from a previous accounting period. It accomplishes this by locking down all the transactions in that period, which ensures the data's accuracy and consistency. For instance, if a business has a monthly closing process, it may want to close the books for the previous month to ensure that all transactions are accounted for and correctly recorded. This helps ensure that the company's financial statements are accurate and can be used to make informed decisions. In terms of benefits, the Close Books feature provides two primary benefits: It can prevent users from accessing any information in a closed period. It can prevent users from changing transactions in a closed period. By limiting access and preventing changes, the Close Books feature ensures data accuracy and consistency.  

To know more about data accuracy visit:

https://brainly.com/question/28272691

#SPJ11

Consider how each of the following events is likely to affect real GDP. DO you think the change in real GDP reflects a similar change in economic well-being? a. A hurricane in Florida forces Disney World to shut down b. The discovery of a new, easy-to-grow strain of wheat c. Increased hostility between unions and management sparks d. Firms throughout the economy experience falling demand, e. Congress passes a new environmental law that prohibits for a month increases farm harvest a rash of strikes causing them to lay off workers firms from using production methods that emit large quantities of pollution mowing lawns spend more time with their children f. More high-school students drop out of school to take jobs g. Fathers around the country reduce their work-weeks to spend more time with their children

Answers

The change in real GDP does not reflect a similar change in economic well-being as GDP is only a measure of the country's economic output, not a measure of economic well-being.

Consider how each of the following events is likely to affect real GDP;

A. A hurricane in Florida forces Disney World to shut down - This event will affect real GDP negatively, as many people travel to Florida to visit Disney World.

B. The discovery of a new, easy-to-grow strain of wheat - This event will affect real GDP positively, as more wheat will be grown, and hence, production will increase.

C. Increased hostility between unions and management sparks a rash of strikes causing them to lay off workers - This event will affect real GDP negatively, as workers will be laid off and production will decrease.

D. Firms throughout the economy experience falling demand - This event will affect real GDP negatively as firms will experience losses and reduce production.

E. Congress passes a new environmental law that prohibits firms from using production methods that emit large quantities of pollution - This event will affect real GDP negatively, as firms will have to adapt to new production methods, which may be costlier.

F. More high-school students drop out of school to take jobs - This event will affect real GDP positively, as students will be working and contributing to the production.

G. Fathers around the country reduce their work-weeks to spend more time with their children - This event will affect real GDP negatively as fewer people will be working and production will decrease.

Overall, the change in real GDP does not reflect a similar change in economic well-being as GDP is only a measure of the country's economic output, not a measure of economic well-being.

To know more about management visit:

https://brainly.com/question/32216947

#SPJ11

Your estimate of the market riak premium is 0% The risk free rate of retum in 3.1% and General Motors han a beta of 1.9. According to the Capital Asset Pricing Model (CAPM), what in its expected return? O A 212 OB 18.2% OC 20.2% OD. 19.2%

Answers

The expected return of General Motors, given the risk premium and the risk free rate of return is D. 16. 4 %.

How to find the expected return ?

To calculate the expected return of General Motors (GM) using the Capital Asset Pricing Model ( CAPM ), the following formula is used :

Expected Return = Risk-Free Rate + Beta x Market Risk Premium

Given the information provided:

Risk-Free Rate = 3. 1 %

Market Risk Premium = 7 %

Beta (GM) = 1. 9

Expected Return is therefore :

Expected Return = 3. 1 % + 1.9 x 7 %

Expected Return = 3 .1 % + 13. 3 %

Expected Return = 16 .4%

Find out more on expected return at https://brainly.com/question/29060887


#SPJ4

On September 15, Lubov agreed orally with Tim to lease a store to Tim in Manhattan at $5,000 per month for one year starting the following January

(a) Is the oral agreement enforceable? Explain.

(b) Assume that the oral lease was for three years, that Tim moved in on January 1, and paid the monthly rent for six months, and that Lubov then notified Tim to vacate. Is the oral agreement enforceable by Tim for the balance of the three-year term? Explain.

Answers

(a) Whether the oral agreement is enforceable or not and its explanation:The oral agreement is not enforceable. The written agreement is needed for the lease agreement that lasts longer than a year and it is applicable to any interest in real property. The lease agreement proposed is for one year, and the start of the lease would be the following January. As the lease is less than a year, it does not have to be in writing. An oral agreement can stand as the lease contract when the term of the lease is less than one year, although a written contract is always desirable.

(b) Whether the oral agreement is enforceable by Tim for the balance of the three-year term or not and its explanation: For the remaining term, the oral agreement is not enforceable. The statute of frauds is a common law concept that is part of many jurisdictions' contract law. It necessitates that some contracts must be in writing to be enforceable, including leases for longer than one year. A lease that lasts longer than one year must be in writing to be enforceable. As a result, a three-year lease must be in writing to be enforceable.

Therefore, Tim cannot enforce the oral agreement for the balance of the three-year term.

To learn more about Oral contract here:

brainly.com/question/28952056

#SPJ11

On September 1, a corporation had 100.000 shares of $2 par value common stock, and $1,000,000 of retained eamings. The corporation decides issues a 4-1 shock spit. The general joumal ently to recordatio A. No journal entry B. Retained earnings (debit) and common stock split distribution (credit) C. Retained eamings (debit) and stock split (credit) D. Retained samings (debit) and common stock (credit)

Answers

The general journal entry to record it includes: Retained earnings (debit) and common stock split distribution (credit). The Option b.

How should the corporation journal entry be recorded for the stock split distribution?

To record the stock split, the corporation would need to make a journal entry. The stock split involves increasing the number of shares and reducing the par value per share.

In this case, the corporation had 100,000 shares of $2 par value common stock. With a 4-1 stock split, the number of shares would increase by four times, resulting in a total of 400,000 shares. The par value per share would be reduced accordingly. The journal entry would involve debiting the retained earnings account and crediting the common stock split distribution account.

Read more about journal entry

brainly.com/question/28390337

#SPJ4

New Providence Limited wants to raise some shares to finance its expansion in the export market and invited applications for 500 000 ordinary shares of $1 each at $1.30 payable as to 40c on application, 70c (including 30c premium) on allotment and 20c on first and final call four months after allotment. Applications for all shares were received and shares duly allotted. All allotment monies were received but the holder of 1 000 shares failed to meet the call and forfeited his shares in accordance with the articles of the company. All forfeited shares were subsequently reissued as fully paid shares at 80c each.

Required:
A. Accounting entries to record the issue of shares by New Providence Limited.
i. Application and allotment account, and bank account
ii. Share premium account and Call account
iii. Ordinary share capital account and Investment own shares account
B. Highlight TWO (2) advantages and TWO (2) disadvantages to a company that raises capital by share issue.

Answers

A. Accounting entries to record the issue of shares by New Providence Limited:Entries for Application and Allotment account:Particulars $Particulars $Applications (500,000 shares at $1.30) 650,000Bank 650,000Allotment (500,000 × 70c) 350,000Application 200,000

Entries for Share premium account and Call account:Particulars $Particulars $Share premium 150,000Calls in advance (500,000 x 20c) 100,000Calls in arrears 40,000Forfeited shares account 10,000Bank 150,000Entries for Ordinary share capital account and Investment own shares account:Particulars $Particulars $Allotment 500,000Share capital 500,000Forfeited shares 1,000Forfeited shares account 800Investment in own shares account 200B. Advantages and Disadvantages of raising capital by share issue are given below:Advantages:The company does not have to repay the capital raised by share issue.It allows for a wider spread of risk, as many shareholders can share the risk among themselves.A share issue does not require a repayment plan, thus leaving the company more cash for other purposes such as expansion.Disadvantages:The company may lose control over the decision-making process as new shareholders come on board.Dividends must be paid out to shareholders, even if the company does not make a profit.Most shares require a higher rate of return compared to debt. Therefore, a high amount of shares may make a company less attractive to potential investors.

Learn more on debt here:

rainly.com/question/31102427

#SPJ11

According to the straight-line depreciation method, an equal amount of depreciation expense is assigned to each year of the asset useful life a. True b. False

Answers

The statement - According to the straight-line depreciation method, an equal amount of depreciation expense is assigned to each year of the asset useful life - is True

What is the straight line depreciation method?

According to the straight-line depreciation method, an equal amount of depreciation expense is assigned to each year of the asset's useful life. This means that the depreciation expense is spread evenly over the useful life of the asset.

It is calculated by dividing the cost of the asset (less any estimated salvage value) by the useful life in years. This method assumes that the asset's value decreases evenly over time.

Learn more about depreciation method at

https://brainly.com/question/1203926

#SPJ4

Demand for Corn Flakes is: P= 10-Q. Supply of Kellogg's Corn Flakes is:
P=2+Q. Now a generic company enters the market, selling generic Corn Flakes for $5. Assume consumers are indifferent between generic and Kellogg's Corn Flakes. How many boxes of generic Corn Flakes will sell? Enter as a value.

Answers

The market price of Kellogg's Corn Flakes is given as P=2+Q, while the market price of generic Corn Flakes is $5. Assume that customers are indifferent between Kellogg's and generic Corn Flakes.

Below is the explanation on how many boxes of generic Corn Flakes will be sold:

Solving for Q and setting P for Kellogg's Corn Flakes and generic Corn Flakes equal to one another, we can find the quantity of Kellogg's Corn Flakes demanded at a given price:$10 - Q = $5 + $2 + Q => $10 - $7 = 2Q => 3/2 = Q.

At a price of $7, the quantity demanded of Kellogg's Corn Flakes is 3/2.

We know that consumers are indifferent between Kellogg's and generic Corn Flakes, thus the quantity demanded of generic Corn Flakes will also be 3/2.

Hence, the number of boxes of generic Corn Flakes that will be sold will be 1.5.

Answer: 1.5.

To know more about market price visit:

https://brainly.com/question/31964955

#SPJ11

b) Assume that the MPC in Australia is equal to 0.60 (C1=0.60), the marginal tax rate is 0.3 (t=0.3), and the marginal propensity to import is 0.02 (m=0.02). What would be the impact on output of a $1

Answers

The impact on output of a $1 increase in government spending in Australia would be an increase of $0.2748.

MPC stands for Marginal Propensity to Consume, which is defined as the proportion of an additional income that is spent on consumption. If the MPC in Australia is equal to 0.60, this means that out of every extra dollar, $0.60 is going to be spent on consumption and the remaining $0.40 will be saved. The marginal tax rate refers to the amount of tax that is levied on an additional dollar of income.
In Australia, the marginal tax rate is 0.3, which means that 30% of each additional dollar earned will be taken as tax. The marginal propensity to import is the proportion of an additional dollar that is spent on imports.
In Australia, the marginal propensity to import is 0.02,
which means that out of every extra dollar, $0.02 is going to be spent on imports.
The impact on output of a $1 increase in government spending can be calculated using the formula:
ΔY = ΔG × (1 - MPC) × (1 - t) × (1 - m)ΔG
is the change in government spending, which in this case is $1.
Substituting the values of the MPC, marginal tax rate, and marginal propensity to import into the formula,
we get:ΔY = $1 × (1 - 0.60) × (1 - 0.3) × (1 - 0.02)ΔY
= $1 × 0.40 × 0.70 × 0.98ΔY
= $0.2748
Therefore, the impact on output of a $1 increase in government spending in Australia would be an increase of $0.2748. This is because some of the money will leak out of the economy in the form of savings, taxes, and imports, so the overall impact on output will be less than the initial increase in government spending.

To know more about Marginal Propensity visit:
https://brainly.com/question/15245341
#SPJ11

If a scatter plot of the data reveals an inverted U shape, what data transformation would allow it to be estimated with simple linear regression?
A Take the inverse of the explanatory variable, ie 1/x
B) Take the square of the explanatory variable
Take the log of the dependent variable
Take the square of the dependent variable

Answers

The correct option is B, If a scatter plot of the data reveals an inverted U shape, then the data transformation that would allow it to be estimated with simple linear regression is "Take the square of the explanatory variable.

Linear regression is a statistical modeling technique used to establish a relationship between a dependent variable and one or more independent variables. It assumes a linear relationship between the variables, aiming to find the best-fit line that minimizes the difference between observed data points and predicted values. The goal is to predict the value of the dependent variable based on the given independent variables.

The line is determined by estimating the slope and intercept that define the equation of a straight line. This equation enables us to make predictions for new data points. The process involves analyzing the data, calculating the coefficients, and evaluating the model's accuracy through measures like the coefficient of determination (R-squared) and residual analysis. Linear regression has widespread applications in various fields, such as economics, finance, social sciences, and machine learning, and it serves as a fundamental building block for more complex regression and predictive models.

To learn more about Linear regression visit here:

brainly.com/question/32505018

#SPJ11

CK Computers has a marketing budget of $10,000 and a time frame of one week to liquidate at least 1,000 computers. In the context of LP problem, what does "one week" represent?

A. The Objective Function B. A Constraint C. An Alternative Course of Action D. A Decision Variable E. Both B and D above

Answers

In the context of the Linear Programming (LP) problem, the one week represents a constraint since it is an external constraint that the company needs to adhere to within the given time frame. Therefore, the correct answer is option B.

Linear Programming (LP) is a powerful mathematical modeling technique utilized to discover the optimal solution to the given problems, which are often used to optimize the allocation of resources. This optimization problem is usually defined as a set of linear equations that include constraints and an objective function to optimize.What are Constraints in LP?Constraints are the parameters that restrict or constrain the solution space to certain values that adhere to the project's specific requirements and limitations. In the context of the given problem, the time frame of one week is a constraint that limits the company to liquidate the minimum amount of computers within the specific period as they do not have an extended period to do so.

Learn more about Linear Programming here:

https://brainly.com/question/29405467

#SPJ11

Do you think shoprite holdings is a good employer yo work for? why do you say that?

Answers

In answering the question of whether Shoprite Holdings is a good employer to work for, the response should meet the following criteria: Shoprite Holdings is a South African company that has a significant presence in the retail industry in Africa and is known for its extensive range of products and services, including food, home appliances, and clothing.

The company operates in 15 countries, with over 140,000 employees.The company has won numerous awards and recognition for its human resource policies, including recognition for its work in employee engagement, talent management, and workplace diversity. Additionally, the company provides opportunities for employees to grow and develop their skills, with a strong focus on career progression and skills development.However, the company has also been criticized for its treatment of employees, with some accusing it of exploiting workers and failing to provide fair wages or working conditions. Despite these criticisms, the company has continued to grow and expand its operations, with plans to enter new markets in the future.
In conclusion, whether Shoprite Holdings is a good employer to work for depends on various factors, including the employee's position, location, and personal experience. While the company has been recognized for its human resources policies, it has also faced criticism for its treatment of workers. Therefore, it is up to each individual to evaluate the company and decide whether it is a good fit for their career aspirations and personal values.

to know more about retail industry visit:

brainly.com/question/30177017

#SPJ11

A random sample of 17 values was selected from a population, and the sample standard deviation was computed to be 150. Based on this sample result, compute a 90% confidence interval estimate for the true population standard deviation.

Answers

The population standard deviation is estimated using sample data and is therefore not known. The aim of this question is to construct a confidence interval to estimate the population standard deviation of a normal distribution.

This confidence interval is calculated based on a sample size of n = 17 and a sample standard deviation of 150. In this case, the degrees of freedom is n − 1 = 16.

To construct a 90% confidence interval for the population standard deviation, we use the following formula:
[math] \sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2},n-1}}}, \sqrt{ \frac{(n-1)s^2}{\chi^2_{1-\frac{\alpha}{2},n-1}}}[/math]

where s is the sample standard deviation, [math]\chi^2_{\frac{\alpha}{2},n-1}[/math] and [math]\chi^2_{1-\frac{\alpha}{2},n-1}[/math] are the critical values of the chi-squared distribution with n − 1 degrees of freedom corresponding to the lower and upper bounds of the confidence interval, and α is the significance level (1 − confidence level).

Substituting the given values, we get:
[math]\sqrt{\frac{(17-1) \times 150^2}{\chi^2_{0.05/2,16}}} , \sqrt{\frac{(17-1) \times 150^2}{\chi^2_{1-0.05/2,16}}}[/math]
[math]= \sqrt{\frac{16 \times 150^2}{26.2962}}, \sqrt{\frac{16 \times 150^2}{7.9656}}[/math]
[math]= (284.34, 631.85)[/math]

Therefore, we can estimate with 90% confidence that the true population standard deviation lies between 284.34 and 631.85.

To know more about population visit:-

https://brainly.com/question/15889243

#SPJ11

Company A, manufacturer of prefabricated houses for over 20 years, designated the Division 1 as an investment center. Presently, Division 1 generated a sales revenue of P4,800,000, net operating income of P696,000 and reported an asset balance of P4,000,000. The president has indicated that the division's rate of return on investment must be increased to at least 20 % by end of the next year if operations are to continue. If Division 1 were in an industry where the profit margin could not be increased, how much would the investment turnover have to increase to meet the president's required ROI?

Answers

To meet the president's required ROI of 20%, Division 1's investment turnover must increase to 137.93%.

Company A, a manufacturer of prefabricated houses for over 20 years, designated Division 1 as an investment center. Presently, Division 1 generated a sales revenue of P4,800,000, a net operating income of P696,000, and reported an asset balance of P4,000,000. The president has indicated that the division's rate of return on investment must be increased to at least 20 % by the end of next year if operations are to continue. If Division 1 were in an industry where the profit margin could not be increased, the investment turnover would have to increase to meet the president's required ROI.An investment center is a department, division, or subsidiary of a business that is expected to generate a return higher than the company's hurdle rate, which is the minimum acceptable rate of return. A company's ROI is calculated by dividing its net operating income by its average operating assets. To increase ROI, either net operating income must increase, or average operating assets must decrease.

According to the information provided above:

Net operating income = P696,000

Total operating assets = P4,000,000

Rate of return on investment = 17.4% (i.e., 696,000 ÷ 4,000,000 × 100)

Required rate of return on investment = 20 %

To calculate the investment turnover required to meet the president's required ROI, use the following formula:

ROI = Investment turnover x Profit margin

ROI = Net operating income ÷ Total operating assets

Profit margin = Net operating income ÷ Sales revenue

To achieve the required ROI, the investment turnover would have to be equal to:

ROI = Investment turnover x Profit margin20% = Investment turnover x (696,000 ÷ 4,800,000)20% = Investment turnover x 0.145Investment turnover = 20% ÷ 0.145Investment turnover = 137.93 %

Therefore, to meet the president's required ROI of 20%, Division 1's investment turnover must increase to 137.93%.

Learn more about ROI visit:

brainly.com/question/31376146

#SPJ11

The Company manufactures windows. Its manufacturing plant has the capacity to produce 20000 windows each month. Current production and sales are 15000 windows per month. The company normally charges $250 per window. Cost information for the current activity level is as​ follows:

Answers

1. The company should accept the special order.

2. The special order should be rejected.

3. The company should accept the special order.

How did we arrive at these assertions?

1. To determine whether the company should accept the special order, compare the incremental revenue from the order with the incremental costs associated with it.

Incremental revenue:

Number of windows in the special order: 5,000

Price per window: $125

Total incremental revenue: 5,000 × $125 = $625,000

Incremental costs:

Direct materials: $300,000

Direct manufacturing labor: $150,000

Variable costs (for setups, materials handling, quality control, etc.) for 100 batches: 100 × $1,250 = $125,000

Total incremental costs: $300,000 + $150,000 + $125,000 = $575,000

Total incremental profit = Incremental revenue - Incremental costs

= $625,000 - $575,000

= $50,000

Since the total incremental profit is positive ($50,000), the company should accept the special order.

2. If the plant capacity is reduced to 17,500 windows per month, we need to consider whether accepting the special order would exceed the available capacity.

Current production and sales: 15,000 windows

Special order quantity: 5,000 windows

Total demand (current + special order): 15,000 + 5,000 = 20,000 windows

Since the total demand (20,000 windows) exceeds the reduced plant capacity (17,500 windows), the company cannot fulfill the special order without affecting its regular business. Therefore, the special order should be rejected.

3. In this case, we need to consider the potential impact of the special order on the existing customers' demand for a price discount.

Incremental revenue:

Number of windows in the special order: 5,000

Price per window: $125

Total incremental revenue: 5,000 × $125 = $625,000

Incremental costs:

Direct materials: $300,000

Direct manufacturing labor: $150,000

Variable costs (for setups, materials handling, quality control, etc.) for 100 batches: 100 × $1,250 = $125,000

Total incremental costs: $300,000 + $150,000 + $125,000 = $575,000

Total incremental profit = Incremental revenue - Incremental costs

= $625,000 - $575,000

= $50,000

If the existing customers demand a price discount of $15 per window, the cost per window for the special order would effectively decrease by $15. Therefore, the incremental costs for the special order would decrease by $15 × 5,000 = $75,000.

Adjusted incremental costs = $575,000 - $75,000 = $500,000

Adjusted total incremental profit = $625,000 - $500,000 = $125,000

Since the adjusted total incremental profit is still positive ($125,000), even considering the potential price discount, the company should accept the special order.

learn more about Incremental costs: https://brainly.com/question/25811981

#SPJ4

The complete question goes thus:

The Company manufactures windows. Its manufacturing plant has the capacity to produce 20000 windows each month. Current production and sales are 15000 windows per month. The company normally charges $250 per window. Cost information for the current activity level is as follows:

Variable costs that vary with number of units produced

Direct materials

$300,000

Direct manufacturing labour

150,000

Variable costs (for setups, materials handling, quality control, and so on)

that vary with number of batches, 300 batches x $1,250 per batch

375,000

Fixed manufacturing costs

125,000

Fixed marketing costs

55,000

Total costs

$1,005,000

The company has just received a special one-time-only order for 5,000 windows at $125 per window. Accepting the special order would not affect the company's regular business or its fixed costs. Good Job makes windows for its existing customers in batch sizes of 50 windows (300 batches x 50 windows per batch = 15,000 windows). The special order requires Good Job to make the windows in 100 batches of 50 windows.

1. Should accept this special order? Show your calculations.

2. Suppose plant capacity were only 17500 windows instead of 20000 windows each month. The special order must either be taken in full or be rejected completely. Should accept the special order? Show your calculations.

3. As in requirement 1, assume that monthly capacity is 20000 windows . the company is concerned that if it accepts the special order, its existing customers will immediately demand a price discount of $15 in the month in which the special order is being filled. They would argue that 's capacity costs are now being spread over more units and that existing customers should get the benefit of these lower costs. Should accept the special order under these conditions? Show your calculations.

Which terms is defined as the possibility of loss resulting from not being able to convert an asset into cash quickly should the need arise?

Answers

The term that is defined as the possibility of loss resulting from not being able to convert an asset into cash quickly should the need arise is liquidity risk.

Liquidity risk refers to the possibility of not being able to sell or buy a security or asset at a reasonable price because of the lack of a market. It refers to a company's or an individual's inability to pay its short-term debts because of a shortage of cash or trouble in converting its assets into cash.

It is concerned with the danger that the seller of a security will not locate a buyer to execute a transaction or will be forced to sell at a price that is substantially less than its value due to a lack of trading liquidity.

Learn more about substantially

https://brainly.com/question/32078761

#SPJ11

Are these answers correct or not? This is for ESHP 190 - The Art
of Starting
ce - Entrepreneurial Funding - Requires Respondus LockDown Browser -30:00 Time Left:0:06:23 Hailey Hill: Attempt 1 3 X 9 Question 1 (3 points) ✓ Saved Which of the following is NOT true of most debt

Answers

The option that is NOT true of most debt financing structures is option C) Generally issued in shares of stock.

What is the debt financing structures?

The majority of debt financing structures do not require the issuance of stocks. Debt funding generally entails taking out loans from creditors or issuing bonds, with the understanding that the establishment will reimburse the borrowed sum plus interest within a predetermined time frame.

In contrast to equity financing, where shares of stock are issued, the lenders or bondholders are not granted ownership in the company.

Learn more about debt financing structures from

https://brainly.com/question/28206401

#SPJ4

Which of the following is NOT true of most debt financing structures?

A) No ownership in the company.

B) 1st in line to assets of the company if it fails.

C) Generally issued in shares of stock.

D) Secured by the assets of the company.

Give brief summary of IAS 16 Property, Plant, and Equipment.

Objective
Scope
Recognition
Initial measurement
Measurement subsequent to initial recognition
The revaluation model
Depreciation (cost and revaluation models)
Recoverability of the carrying amount
Derecognition (retirements and disposals)
Disclosure
Additional disclosures
Revalued property, plant and equipment

Answers

IAS 16 provides guidance on the recognition, measurement, and disclosure of property, plant, and equipment in financial statements.

What are the key aspects covered by IAS 16 regarding property, plant, and equipment?

IAS 16 sets out the objective of providing relevant information about an entity's investment in property, plant, and equipment. It outlines the scope of the standard, which includes tangible assets that are held for use in the production or supply of goods and services, rental to others, or for administrative purposes.The standard specifies the recognition criteria, stating that an item of property, plant, and equipment should be recognized as an asset if it is probable that future economic benefits associated with the asset will flow to the entity, and the cost of the asset can be reliably measured.

IAS 16 provides guidance on the initial measurement of property, plant, and equipment, which is generally at cost. It also allows for the revaluation model, where assets can be carried at fair value less any subsequent accumulated depreciation and impairment losses.

The standard addresses the depreciation of property, plant, and equipment, both under the cost model and the revaluation model. It requires entities to assess the recoverability of the carrying amount of an asset, and if necessary, recognize impairment losses.

IAS 16 includes guidance on derecognition of property, plant, and equipment, such as retirements and disposals, and specifies the disclosure requirements for these assets in the financial statements. Additionally, it outlines additional disclosures for revalued property, plant, and equipment.

Learn more about IAS 16

brainly.com/question/32628155

#SPJ11

Apparel Leasing Company signs a lease agreement on January 1, 2021, to lease equipment to Oman Company. The term of the non-cancelable lease is 8 years, and payments are required at the end of each year. The following information related to this agreement:
The equipment has a cost and fair value of $28,500,000 to Apparel, an estimated useful life of 10 years, and no residual value at the end of that time. Annual lease rental is $4,324.818
Apparel Company desires to eam an 8% return on its investment.
Instructions:
A) Prepare an amortization schedule for the lessor for 2021 and 2022
B) Prepare the journal entries on the lessor's books on January 1, 2021 and December 31, 2021

Answers

A) The amortization schedule for the lessor for 2021 and 2022 is as follows:

Year 2021:

Beginning Lease Receivable: $28,500,000

Lease Rental Income: $4,324,818

Interest Revenue (8% of Beginning Lease Receivable): $2,280,000

Principal Reduction: $2,044,818

Ending Lease Receivable: $26,455,182

Year 2022:

Beginning Lease Receivable: $26,455,182

Lease Rental Income: $4,324,818

Interest Revenue (8% of Beginning Lease Receivable): $2,116,414

Principal Reduction: $2,208,404

Ending Lease Receivable: $24,246,778

B) The journal entries on the lessor's books on January 1, 2021 and December 31, 2021 are as follows:

January 1, 2021:

Lease Receivable: $28,500,000

Lease Liability: $28,500,000

December 31, 2021:

Lease Receivable: $2,044,818

Lease Rental Income: $4,324,818

Interest Revenue: $2,280,000

These entries reflect the initial recognition of the lease receivable and liability on January 1, 2021, and the recognition of lease rental income and interest revenue for the year 2021 on December 31, 2021.

You can learn more about amortization schedule at

https://brainly.com/question/26718860

#SPJ11

Tyare Corporation had the following inventory balances at the beginning and end of May May 1 May 30 $28,500 $36,000 $78,000 $72,000 $16,500 $16,962 Raw materials Finished Goods Work in Process During

Answers

During May, Tyare Corporation's raw materials inventory increased from $28,500 to $36,000, while finished goods inventory decreased from $78,000 to $72,000.

Tyare Organization had the accompanying stock adjusts toward the start and end of May:

May 1: Unrefined substances - $28,500, Completed products - $78,000, Work in process - $16,500

May 30: Unrefined substances - $36,000, Completed products - $72,000, Work in process - $16,962

During the long stretch of May, Tyare Partnership experienced changes in its stock adjusts. The natural substances stock expanded from $28,500 to $36,000, showing that the organization bought extra unrefined components during the month.

The completed merchandise stock diminished from $78,000 to $72,000, recommending that the organization sold a few completed items during the month. The work in process stock remained generally steady, with a slight increment from $16,500 to $16,962.

These stock adjusts give knowledge into the organization's creation and deals exercises during May. By breaking down these figures, Tyare Company can evaluate its stock administration and go with informed choices in regards to creation levels and future deals projections.

To learn more about inventory balances, refer:

https://brainly.com/question/32700542

#SPJ4

Why do some groups succeed, and others fail? The characteristics of groups and teams have an important impact on their effectiveness. These same characteristics can create or reduce stress on team members. When supervisors are aware of these characteristics and understand their impact, supervisors are able to build better new groups and teams and are able to intervene in current groups and teams to improve their effectiveness by changing some of the characteristics.

Read each description and classify as the appropriate group characteristic. Roles Norms, Cohesiveness, Size, Homogeneity

1. Jeff is a team member on one team and a team leader in another group.

2. Jess has always been the person to lighten up the mood when others are upset, depressed, or involved in conflict.

3. Brandon is being pressured by other members of his group to quit telling jokes and stay on topic during meetings.

Answers

Role is the characteristic that fits Jeff who is a team member in one team and team leader in another group.2. Norm is the characteristic that fits Jess who is known to lighten the mood when others are upset or involved in conflicts.3. Norm is the characteristic that fits

Brandon who is being pressured to quit telling jokes and stay on topic during group characteristics can have a significant effect on the performance of the team and the success of the project. The characteristics of groups and teams can have an important impact on their effectiveness.

These same characteristics can create or reduce stress on team members. When supervisors are aware of these characteristics and understand their impact, they can build better new groups and teams and intervene in current groups and teams to improve their effectiveness by changing some of the characteristics. The characteristics of groups and teams can have an important impact on their effectiveness.  Norm is the characteristic that fits Jess who is known to lighten the mood when others are upset or involved in conflicts.

To know more about project visit;

https://brainly.com/question/3040733

#SPJ11

Other Questions
If output is increased in the long-run, average production costs in the presence of internal economies of scale will ________, and in the presence of external economies of scale, will ________.A) decrease; decreaseB) increase; remain constantC) remain constant; increaseD) decrease; remain constantE) increase; decrease Please show all the stepsABC Inc. will pay a constant dividend of $5.99 per share inperpetuity. The required rate of return on the company's stock is12.5%. Investors do not pay taxes on capital gai Which of the following compounds is named using an -ide suffix? A) LiClO B) LiClO_2 C) LiClO_3 D) ClO_2 E) None of the above If the reserve ratio was 4%, then according to the Simple Deposit Multiplier, a $100 increase in the monetary base would lead to what overall increase in the money supply? what are the limitation of the Web application of HTML5 with JavaScript? Select all that apply.1) the code is viewable and there are potential Proprietary and security issues.2) it is main for one-page applications. Need help, thank you in advance!6 ints eBook References Mc Problem 3-16 (Static) Comprehensive Problem [LO3-1, LO3-2, LO3-4] Gold Nest Company of Guandong, China, is a family-owned enterprise that makes birdcages for the South China Use the expanded accounting equation to solve for the missing amount. Assets $34,000; Liabilities ?; Owner's Capital, Beginning Balance $17,000; Revenues $15,000; Expenses $3,000; Withdrawals $1,000 correct order enlightenment classicism romanticism renaissance Find the general solution to the differential equation (x+ yexy) dx + (xexy-sin3y)=0 (10) V dy Please help me w this Read this excerpt from a political candidates speech about college tuition. Some people criticize my view that college education should be free for all state residents. But why do they? Our state has enough money, and if we dont spend it on education, where will we spend it? Think about how much money is spent on state programs that dont benefit anyone and just line the pockets of politicians and their friends.Which logical fallacy does the author include?red herringad populumfalse analogyslippery slope whythe decisions of bank of canada should be independent of the fedralgoverment's policy? Let xi, Xn be ii.d random vorables ... 2 given by frasex I(,-) (*) {x...... Xn} . Does E[x] exist? If so find it. Does ECYJ exist? If find it Let Y= min SO Tito and Tessa have gathered all the information to file their joint 2020 income tax return. They calculated their total income to be $95,000. Adjustments to income include Tessa's $6,000 deductible contribution to her retirement account and Tito's $9,000 business expenses. Their itemized deductions total $22,000. Tessa had her employer withhold $4,000 federal income tax from her paychecks over the year. Tito paid estimated taxes for his business over the year, which totaled $2,700. In this assignment, you will determine if Tito and Tessa will owe taxes or receive a tax refund, and how much Solve for x. Show work. Show result to three decimal places Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.250.59870.500.69150.750.77341.000.84131.250.89441.500.93321.750.9599 the ceo of mindwerks must understand the industry in which his business competes, the future of that industry, and the competition. this requires strong ________ skills. Identify the substance or glassware that corresponds to each description for this lab. a. Analyte. b. Glassware used to hold the sample of analyte during the titration. c. Substance used to detect the endpoint. d. Glassware used to deliver the titrant. e. Titrant. irtllad tr to the vineaar sample before the Operating systems manage and process data from the time it is generated (such as data resulting from orders, documents, and other business transactions) through its conversion into information.a. trueb. false Which of the following is the best description of configuration management?a. a thorough change control system to ensure the project produces the desired resultsb. a system used to store versions of software codec. a system used to store versions of documentation on a projectd. a piece of an automated project management system used to set up project variables