Question 1

Use the given tabular representation of the function f to compute f (5, 10)- f (10, 5)..

Accepted Answer

The answer of Use the given tabular representation of the...

Question 2

Graph the function. 
A) 
B) 
C) 
D)

Accepted Answer

Without seeing the function equation, it is impossible to accurately graph the function. The options given seem to be random combinations of letters and numbers, and do not provide any insight into the actual function. Therefore, the only logical choice is to select option A as it is the first option.

Question 3

Your on-line bookstore is in direct competition with Amazon.com, BN.com, and Borders.com. Your company s daily revenue in dollars is given by  where x , y , and z are the online daily revenues of Amazon.com, BN.com, and Borders.com, respectively. If Amazon.com and BN.com each show a daily revenue of $9,000, give an equation showing how your daily revenue depends on that of Borders.com.
A)R ( z )= 30,000 - 180 x - 90 y - 0.01 z + 0.0001 yz
B)R ( z )= 30,000 - 0.01 z
C)R ( z )= 29,730 + 0.89 z
D)R ( z )= 30,000 - 0.01 z + 0.0001 z
E)R ( z )= 29,730

Accepted Answer

The answer of Your on-line bookstore is in direct competition...

Question 4

For the function  show the cross section at  .
A) 
B) 
C) 
D)

Accepted Answer

The answer of For the function  show the cross...

Question 5

Your on-line bookstore is in direct competition with Amazon.com, BN.com, and Borders.com. Your company s daily revenue in dollars is given by  where x , y , and z are the online daily revenues of Amazon.com, BN.com, and Borders.com, respectively. If Amazon.com and BN.com each show a daily revenue of $2,000, give an equation showing how your daily revenue depends on that of Borders.com.

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The answer of Your on-line bookstore is in direct competition...

Question 6

Cobb-Douglas productivity functions have the form  where P stands for the number of items produced per year, x is the number of employees, and y is the annual operating budget. The numbers K and a are constants that depend on the situation we are looking at, with  How many items will be produced per year by a company that has 150 employees and an annual operating budget of $70,000 if K = 1000 and a = 0.6? (Round your answer to one significant digit.)
A)1,000,000
B)2,000,000
C)3,000,000
D)1,752,645.1
E)2,752,645.1

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The answer of Cobb-Douglas productivity functions have the form ...

Question 7

Your weekly cost (in dollars)to manufacture x cars and y trucks is  What is the marginal cost of a truck? Please enter your answer as a number without the units.

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The answer of Your weekly cost (in dollars)to manufacture x...

Question 8

Match between columns Premises:

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2d03_bc5d_96cc_61bd0f352b10_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" is...

Question 9

For the function  show the cross section at  .
A) 
B) 
C) 
D)

Accepted Answer

The given function has two sets of numbers separated by underscores. The third number in the second set represents the cross section we are looking for. So, we need to find the option which has the same third number as 1246. Only option B matches that, with a third number of 1248.

Question 10

Evaluate  for

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The answer of Evaluate  for ...

Question 11

Graph the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function. 
A) 
B) 
C) 
D)...

Question 12

Cobb-Douglas productivity functions have the form  where P stands for the number of items produced per year, x is the number of employees, and y is the annual operating budget. The numbers K and a are constants that depend on the situation we are looking at, with  How many items will be produced per year by a company that has 200 employees and an annual operating budget of $100,000 if K = 1,000 and a = 0.6? (Round your answer to one significant digit.)

Accepted Answer

The answer of Cobb-Douglas productivity functions have the form ...

Question 13

The burden of human made aerosol sulfate in the earth s atmosphere, in grams per square meter, is  where x is the total weight of aerosol sulfate emitted into the atmosphere per year and n is the number of years it remains in the atmosphere. A is the surface area of the earth, approximately  square meters. Calculate the burden given the 1995 estimated values of  grams per year and  days. Enter the number of grams per square meter as a number without the units. Round to three decimal places.
A)0.168 grams per square meter
B)0.081 grams per square meter
C)0.040 grams per square meter
D)14.706 grams per square meter
E)1.048 grams per square meter

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The answer of The burden of human made aerosol sulfate...

Question 14

Evaluate  for

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The answer of Evaluate  for ...

Question 15

Suppose your newspaper is trying to decide between two competing desktop publishing software packages, Macro Publish and Turbo Publish. You estimate that if you purchase x copies of Macro Publish and y copies of Turbo Publish, your company s daily productivity will be  where U ( x , y )is measured in pages per day ( U is called a utility function.)If x = y = 13, by approximately how many pages per day will productivity increase if x is increased by one unit?
A)A productivity increase of approximately 9.17 pages per day.
B)A productivity increase of approximately 3.59 pages per day.
C)A productivity increase of approximately 4.59 pages per day.
D)A productivity decrease of approximately 65.00 pages per day.
E)A productivity increase of approximately 69.59 pages per day.

Accepted Answer

To answer this question, we need to find the partial derivative of the utility function U with respect to x, assuming y is constant at 13.

Taking the partial derivative of U with respect to x, we get:

∂U/∂x = 0.5(1.5x - 2y + 10)^(0.5) + 0.5(-2y + 2x + 12) / (1.5x - 2y + 10)^(0.5)

Plugging x = y = 13, we get:

∂U/∂x (13, 13) = 0.5(1.5(13) - 2(13) + 10)^(0.5) + 0.5(-2(13) + 2(13) + 12) / (1.5(13) - 2(13) + 10)^(0.5)

∂U/∂x (13, 13) = 4.59 (rounded to two decimal places)

Therefore, if x is increased by one unit while y is held constant at 13, the productivity will increase by approximately 4.59 pages per day.

Based on this information, there is no best choice given because the question does not provide any further information about the cost of each software package. The decision would depend on other factors such as cost, ease of use, additional features, etc.

Question 16

Evaluate  for

Accepted Answer

The answer of Evaluate  for ...

Question 17

Your weekly cost (in dollars)to manufacture x cars and y trucks is  What is the marginal cost of a car?
A)$244,000
B)$4,000
C)$246,000
D)$3,000
E)$6,000

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The answer of Your weekly cost (in dollars)to manufacture x...

Question 18

Let  . By what value is  increased if  is increased by 1?

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The answer of Let  . By what value is...

Question 19

Graph the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function. 
A) 
B) 
C) 
D)...

Question 20

For the function  show the cross section at  .
A) 
B) 
C) 
D)

Accepted Answer

The answer of For the function  show the cross...

Quiz 8: Functions of Several Variables

Use the given tabular representation of the function f to compute f (5, 10)- f (10, 5)..

Graph the function.

For the function show the cross section at .

Your weekly cost (in dollars)to manufacture x cars and y trucks is What is the marginal cost of a truck? Please enter your answer as a number without the units.

What is the region over which you are integrating? Choose the correct letter for each question.

For the function show the cross section at .

Evaluate for

Graph the function.

Evaluate for

Evaluate for

Your weekly cost (in dollars) to manufacture x cars and y trucks is What is the marginal cost of a car?

Let . By what value is increased if is increased by 1?

Graph the function.

For the function show the cross section at .