The marginal productivity of x if the Cobb-Douglas production function for a company is given by z = 300 x 2 / 3 y 1 / 3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

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Answer 1

Question

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

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Answer 2

Question

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

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Answer 3

Question

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

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Answer 4

Question

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

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Answer 5

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

Answer 6

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

Answer 7

Chapter 14.3, Problem 22E

(a)

To determine

To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

Answer 8

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

Answer 9

(b)

To determine

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

Answer 10

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

Answer 11

(c)

To determine

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

Answer 12

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

Answer 13

(d)

To determine

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

Answer 14

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

Answer 15

(e)

To determine

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 14.1 - CHECKPOINT 1. Find the domain of the function Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

The marginal productivity of x if the Cobb-Douglas production function for a company is given by z = 300 x 2 / 3 y 1 / 3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

Solution Summary: The author calculates the marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3.

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To calculate: The marginal productivity of x if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

To calculate: The marginal productivity of x if the current labor force is 729 work-hours and also plot the result.

To calculate: The marginal productivity of y if the Cobb-Douglas production function for a company is given by z=300x2/3y1/3 where x is the company’s capital investment and y is the size of the labor force (in work-hours).

To calculate: The marginal productivity of y if the current capital investment is $27,000 and also plot the result.

The interpretation of graphs in parts (b) and (d) with regard to what they say about the effects on productivity of increased capital investment and of an increased labor force.

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