The Cobb-Douglas production function for a particular product is N(x,y) = 40xy2, where x is the number- each unit of capital costs $120. Answer the questions (A) and (B) below. funits labor and y is the number of units of capital required to produce N(x, y) units of the product. Each unit of labor costs $60 and (A) If $1,200,000 is budgeted for production of the product, determine how that amount should be allocated maximize production, and find the maximum production. (B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50,000 is budgeted for the production of the product. (A) If $1,200,000 is budgeted for production of the product, detemine how that amount should be allocated to maximize production, and find the maximum production. Production will be maximized when using units of labor and units of capital. The maximum production is approximately (Round to the nearest integer as needed.) units. (B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50.c00 is budgeted for the production of the product. The marginal productivity of money is approximately (Round to four decimal places as needed.) The increase in production is approximately (Round to the nearest unit as needed.) units.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The Cobb-Douglas production function for a particular product is N(x,y) = 40xy2, where x is the number-
each unit of capital costs $120. Answer the questions (A) and (B) below.
funits
labor and y is the number of units of capital required to produce N(x, y) units of the product. Each unit of labor costs $60 and
(A) If $1,200,000 is budgeted for production of the product, determine how that amount should be allocated
maximize production, and find the maximum production.
(B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50,000 is budgeted for the production of the product.
(A) If $1,200,000 is budgeted for production of the product, detemine how that amount should be allocated to maximize production, and find the maximum production.
Production will be maximized when using
units of labor and units of capital.
The maximum production is approximately
(Round to the nearest integer as needed.)
units.
(B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50.c00 is budgeted for the production of the product.
The marginal productivity of money is approximately
(Round to four decimal places as needed.)
The increase in production is approximately
units.
(Round to the nearest unit as needed.)
Transcribed Image Text:The Cobb-Douglas production function for a particular product is N(x,y) = 40xy2, where x is the number- each unit of capital costs $120. Answer the questions (A) and (B) below. funits labor and y is the number of units of capital required to produce N(x, y) units of the product. Each unit of labor costs $60 and (A) If $1,200,000 is budgeted for production of the product, determine how that amount should be allocated maximize production, and find the maximum production. (B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50,000 is budgeted for the production of the product. (A) If $1,200,000 is budgeted for production of the product, detemine how that amount should be allocated to maximize production, and find the maximum production. Production will be maximized when using units of labor and units of capital. The maximum production is approximately (Round to the nearest integer as needed.) units. (B) Find the marginal productivity of money in this case, and estimate the increase in production if an additional $50.c00 is budgeted for the production of the product. The marginal productivity of money is approximately (Round to four decimal places as needed.) The increase in production is approximately units. (Round to the nearest unit as needed.)
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