The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8
Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit
Answers
9514 1404 393
Answer:
f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallonStep-by-step explanation:
Given:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
Find:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
Solution:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
Related Questions
How many liters are there in 6 gallons?
Answers
Answer:
6 gallons = 3.785 liters
Answer:
1.5850323141
Step-by-step explanation:
Simplify: (x2+6x+8) + (-4x2+11x-9)
Answers
Answer:
-3x^2+17x-1
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)
Answers
Answer:
she will not have enough money
she will have 23 more to save
Step-by-step explanation:
got it right on plato
Answer:
If the bike costs $150, Carla will
not have
enough money to buy the bike before the start of summer.
Carla will have
$23
more to save
.
Step-by-step explanation:
I need help please help
Answers
Answer:
B (340)
Step-by-step explanation:
The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.
Answers
Answer:
[tex]F=6.83\times 10^{-10}\ N[/tex]
Step-by-step explanation:
Given that,
The masses of two balls = 0.8 kg
The distance between masses = 0.25 m
We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]
So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].
What number should be added to both sides of the equation to complete the square? x-^2+8x=4
Answers
Answer:
2.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?
Answers
Answer:
7 Ways
Step-by-step explanation:
Have a Nice Day!
Answer:
64 ways
Step-by-step explanation:
Basic possibility table/using math, and calculating
Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answers
Answer:
$6,800
Step-by-step explanation:
The interest earn after 5 years will be $6800.
It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.
We have to find out the interest earn.
What do you mean by interest ?
Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.
As per the question ;
Investment made by Huang = $720 for five years
At end of five years , account balance = $50000.
So ;
Five years = 60 months
and the investment is an annuity every month for five years.
If Huang invests $720 every month for 5 years then total investment is ;
= $720 × 60
= $43200
And account balance at end of 5 years = $ 50000
So ;
Interest earn will be ;
= $50000 - $43200
= $6800
Thus , the interest earn after 5 years will be $6800.
To learn more about algebra click here ;
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Help ASAP!!! Please show all work!!!!!!!
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
[tex]\sqrt{x+7} -1=x\\[/tex]
Answers
Answer:
x = 2 and x = -3
Step-by-step explanation:
We need to find the value of x in the below expression.
[tex]\sqrt{x+7} -1=x[/tex]
Adding 1 to both sides,
[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]
Squaring both sides,
[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]
Hence, this is the required solution.
[tex]\bf\huge x=2 [/tex]
Step-by-step explanation:
Given that :[tex]\sqrt{x+7} -1=x\\[/tex]to find :[tex]\sqrt{x+7} -1=x\\[/tex]explanation :⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √x + 7 = x + 1
⟼ x + 7 = x² + 2x + 1
⟼ x + 7 - x² - 2x - 1 = 0
⟼ -x + 6 -x² = 0
⟼ x² + x - 6 = 0
⟼ (x-2) (x+3) = 0
⟼ x = 2 and x = -3
When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set.Therefore,
⟼ x = 2.
verification :⟼ let take x = 2
⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
hence verified ☑️Find the value of x.
1. m<2=x+41
2. m<2=-4+7x
3. m<2=10x-8
4. m<2=x+141
Answers
Answer:
1. 2=x+41
‐x=41‐2
x=‐39
2. 2=4+7×
‐7×=4‐2
7×=2
3. 2=10×+8
‐10×=8‐2
‐5×=3
5×=‐3
4.2=×+141
‐x+2=141
‐x=139
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
Just click an x on the graph for each number in the chart.
1/4 would have 4 x's
2/4 would have 2 x's
3/4 would have 1 x
1 would have 2 x's
solution of equation x^2-2x=-2
Answers
Answer:
[tex]x=1\pm i[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]
The above equation is a quadratic equation whose solution can be given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here,
a = 1, b = -2 and c = 2
So,
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]
So,
[tex]x=1+i,1-i\\\\x=1\pm i[/tex]
So, the solution of the equation is [tex]1\pm i[/tex].
I don’t get this question and need help. please hell
Answers
B
Explanation
Because it has the same shot and long side
Pls answer number 2 I’ll give brainliest thank youu!
Answers
Answer:
$4.40
Explanation:
8/100 = 0.08
55*0.08 = 4.4
Alice has 5 quarters and 2 nickels. How many cents does Alice have
Answers
Answer:
Alice has 135 cents, or $1.35.
Step-by-step explanation:
A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!What is the area of the rectangle below?
9 feet
7 feet
Answers
Answer:
63 feet ^2
Step-by-step explanation:
Well assuming your presented with length and width.
9*7=63
write the ratio 1 to 8 as a fraction, decimal, percent pls help meee
Answers
Answer:
frac.: 1/8
dec.: 0.125
pct.: 12.5%
The given numbers in ratio as 1:8, in fractions as 1/8 and in percentage as 12.5%.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, 1 to 8.
The given numbers in ratio
1:8
In fraction
1/8
In percentage
1/8 ×100
=12.5%
Therefore, the given numbers in ratio as 1:8.
To learn more about the fraction visit:
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Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1
Answers
Answer: C) 4
Step-by-step explanation:
The chi-square test should have 4 degrees of freedom
The categories of students are:
Sophomore, junior, and senior students
The categories of response are:
.agree with the increase, do not agree with the increase, no opinion
There are three (3) categories of students and three (3) categories of response.
So, the degrees of freedom is calculated as:
[tex]df = (r -1) * (c -1)[/tex]
Where:
r = 3 i.e. categories of students
c = 3 i.e. categories of response.
This gives
[tex]df = (3 -1) * (3 -1)[/tex]
[tex]df = 2 * 2[/tex]
[tex]df = 4[/tex]
Hence, the chi-square test should have 4 degrees of freedom
Read more about chi-square test at:
https://brainly.com/question/4543358
A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?
Answers
Answer:
$800 is the original price
Step-by-step explanation:
15% discount
if 85% = $680
100% =?
100/85 * $680
=$800
Answer:
800
Step-by-step explanation:
What is 10×25 to the sixth power
Answers
Answer:
2.4414063e+14 (wow such a large number)
Step-by-step explanation:
10x25= 250
250 to the 6th power = 2.4414063e+14
PLEASE ANSWER THIS QUESTION
(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)
Answers
People enjoyed attending the concert in the park.
Twice as many men as women attended the concert.
If the total attendance was 714, how
many women
attended the concert?
Answers
Answer:
w = 238
Step-by-step explanation:
So create a system of equations if the number of m = 2w where the men's number is twice the women's number. and m + w = 714 so substitute 2w for m
2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238
Your client has asked you to evaluate customers attending the games for a professional football team. The stadium is interested in increasing revenue. Based on the regression models and hypothesis tests learned in this topic and external references, discuss the specific type of data that could be collected from fans and used in a multiple regression model for NFL team revenue. Justify your selection by explaining how the data could be collected and why they are important. Be sure to state and refer to your reference.
Answers
Answer:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheswe have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Step-by-step explanation:
Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium
The type of data that could be collected from the fans to be used in multiple regression model:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
How can the data be collected
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheshow to apply the data
we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Point X is at 2/3 on a number line. On the same number line, point Y is the sane distance for 0 as point X, but has a numerator of 8. What is the Denominator of the fraction on point Y?
Answers
Answer:
12
Step-by-step explanation:
Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.
Answers
9514 1404 393
Answer:
(x +3)² +(y -2)² = 185
(x -10)² +(y +2)² = 185
Step-by-step explanation:
One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.
The radius can be found from the distance formula:
r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185
The circle formula is ...
(x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r
The above equations and the ones shown in the attachment are possibilities.
(-6) (-7)= equals what?
Answers
Answer: 42
Step-by-step explanation:
A negative number times a negative number will have a positive product.
(-6)(-7)=42
Hope this helps
Jamal has 15.00 to spend at the concession stand. He buys nachos for 7.50. and he wants to purchase some sour straws for 1.50 each. How many sour straws can Jamal purchase with the money that he has.
I NEED HELP PLEASE
PLEASE give me the variable please please please and the inequality please no links I will report you comment and answer
ILL GIVE BRAINLIEST
Answers
Answer:
Inequality is 15 = 7.5 + 1.5x
x = 5, he can buy 5 sour straws
Step-by-step explanation:
For the inequality, just set the total money he has (15) equal to the total cost of the nachos (7.5) and sour straws (1.5)
Since we don't know how many straws he can buy, use a variable, I used x.
You get 15 = 7.5 + 1.5x, which solved out gives you x = 5.
Hopefully this helps - let me know if you have any questions!
how do i solve for the inequality, p=3.4?
Answers
Answer:
Step-by-step explanation:
This is already solved, and this would not be considered a inequality since it has only a equal sign.
Cierra is keeping track of the amount of money in her lunch account each week. She writes the equation A= -6w + 40. What do the numbers and variables represent.
Answers
Answer:
A represents the amount of money in the account. W represents the amount of weeks. -6 represents the change in her balance every week. 40 represents the amount of lunch money she starts with.
Help Please my we dobnt know
Answers
Answer:
its B
Step-by-step explanation:
Answer:
Its the 3rd one.
Also can I have brain list
Step-by-step explanation: