Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising

Answers

Answer 1

Answer:

  (a)  (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising

  (b) you should invest more when dP/dt > 0

Step-by-step explanation:

a)

dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.

__

b)

Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.

When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.


Related Questions

The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?

Answers

Answer: 27.5% decrease in the staff

Step-by-step explanation:

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

Help me with this answer please​

Answers

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

Can someone answer this for me?

Thanks!

Answers

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

Answer:

hello :-D

Step-by-step explanation:

write 90 cm as percentage of a metre??​

Answers

Answer: 90%

Step-by-step explanation:

90 cm is 0.9 m

and 0.9 m is 90% of 1 m

90% is your answer sorry if wrong

What is the equation in slope-intercept form of the line that passes through the points (-4, 6) and (-2,5) ?
y=20 - 8
y=-30+4
y=-22 +4
y = -x + 8

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]

simple math question!!!

Answers

There are 25 boxes and 15 of them are shaded.

15/25 = 0.6 = 60%

Answer:

15%

Step-by-step explanation:

Because 5 x 3 = 15%. So the answer is 15%

In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II

Answers

Answer:

B.

Step-by-step explanation:

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6

Answers

Answer:

1

Step-by-step explanation:

because... it is

The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Step-by-step explanation:

the numbers : x, y

x + y = 65

x = y + 5

we use the second equation in the first equation :

y + 5 + y = 65

2y + 5 = 65

2y = 60

y = 30

x = y + 5 = 30 + 5 = 35

3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5

Answers

Answer:

[tex]5x^2 - 4[/tex]

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

[tex]f(x) - c[/tex]

In our case is:

[tex]x^2 - 4[/tex]

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

[tex]f(cx)[/tex]

In our case is:

[tex]5x^2[/tex]

Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:

[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]

Then evaluate for a number, for example 5:

[tex]f(5) = 25\\g(5) = 5[/tex]

the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get [tex]5x^2 - 4[/tex]

If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

Lunch trays are stacked in
4 stacks with 25 trays in
each stack. How many
lunch trays are in the stacks
altogethere Show your
work.

Answers

Answer:

4 stacks and 25 in each stack

its asking you what is the total so

25*4=100

so 100 trays altogether

Answer:

100

Step-by-step explanation:

25+25+25+25

50+50

100

What is 10 plus 5 to the 3 power minus 1? Order of operation

Answers

3374 is the answer.


Hope this helped!! :)

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

(C+X)/X
can be simplified as:​

Answers

[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]

it's can simplify sorry

Water leaks from tanker at a rate of 8L/h. How much water will leak from the tank in: a: 2 Day. b: 2 Weeks

Answers

Answer:

look at the picture ..........

19 /5 as a mixed number

Answers

Answer:

[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896

Answers

Answer:

1503 years

Step-by-step explanation:

Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.

Hi. can you help me?

Answers

Answer:

Sure

Step-by-step explanation:

First you need to ____

Next you need to ____

Last, put nothing

That's what you did, so I helped you out.

Is dis good

i- I think you forgot to put the picture.

.ggzgugimjhzieejwjdjnenwuene

Answers

Answer:

what da hel.l I didn't understood anything

A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?​

Answers

Answer:

$15.08

Step-by-step explanation:

As the value 226.20 is the total of all wages, you can work out the mean.

Mean averages are usually worked out as the total / number of values.

Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.

What is the missing length?

Answers

The missing length is 51.5, I hope this helps :)

Answer:

Length=12mi

Step-by-step explanation:

Area=123.6mi^3

Width=10.3mi

Length=u

Formula: Area=LxW

Area÷W=u

123.6÷10.3=12

Length=12mi

Hope this helps :)

PLEASE HELP! Economics

Answers

100 francs = 50 dollars

Exchange rate = 50/100

= 1/2

= 0.50 dollars per franc (C)

Note :-

It's dollars per franc because here the dollar has more value.

______

RainbowSalt2222 ☔

Answer:

Im pretty sure it is c

Step-by-step explanation:

Evaluate 10.5s + 9.9t when s=3 and t = 4

Answers

Answer:

71.1

Step-by-step explanation:

Answer:

71.1 is the answer

Step-by-step explanation:

On October 1, Organic Farming purchases wind turbines for $140,000. The wind turbines are expected to last six years, have a salvage
value of $20,000, and be depreciated using the straight-line method.
1. Compute depreciation expense for the last three months of the first year.
2. Compute depreciation expense for the second year.

Answers

9514 1404 393

Answer:

$5000$20,000

Step-by-step explanation:

1.

The annual depreciation is the predicted change in value each year. The change in value for 6 years is predicted to be ...

  $140,000 -20,000 = $120,000 . . . . loss of value in 6 years

3 months is 1/4 of one year, so the loss of value in that time period is ...

  $120,000/6 × 1/4 = $5000

The depreciation expense for the last 3 months of the first year is $5000.

__

2.

The depreciation expense for the second year is ...

  $120,000/6 = $20,000

Compute the total amount accumulated if you invested $3,000 for 6 years at 3% compounded
quarterly. Round your answer to the nearest cent and include '$' in your response.

Answers

Answer:

$3,582.16

Step-by-step explanation:

Answer this question fast pls

Answers

Answer:

Lemons ( 27 ) = Cups ( 9 )

Cups ( 50) = Lemons (30)

find the zscore which the area to the left is 0.46

Answers

Answer:

  Z ≈ -0.100

Step-by-step explanation:

A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).

  Z ≈ -0.100

simplify 5/13 ( 75 - 49)​

Answers

Answer:

The answer is 10.

Step-by-step explanation:

I'm certain this is correct. :D

6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?

Answers

Answer:

From the looks of the graph, it looks like the answer will be Letter C. (The last graph).

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 3 /4 ,  41 /8 )

Focus:  ( − 3 /4 ,  5 )

Axis of Symmetry:  x = − 3 /4

Directrix:  y = 21 /4

x                  y

− 3               − 5

− 2                2

− 3                4

41                8

0                 4

1                 − 1

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