The Cobb-Douglas production function for a particular product is N(x,y) = 80x°y3 where x is the number of units of 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 $40 and each unit of capital costs $60. 0.7 0.3 If $200,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production. Production will be maximized when using units of labor and units of capital.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The Cobb-Douglas production function for a particular product is N(x,y) = 80x°y.3 where x is the number of units of 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 $40 and each unit of capital costs $60.
If $200,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production.
O OO
Production will be maximized when using
units of labor and
units of capital.
Transcribed Image Text:The Cobb-Douglas production function for a particular product is N(x,y) = 80x°y.3 where x is the number of units of 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 $40 and each unit of capital costs $60. If $200,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production. O OO Production will be maximized when using units of labor and units of capital.
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