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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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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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