   Chapter 7.3, Problem 43E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Cobb-Douglas Production Function A manufacturer estimates that its production can be modeled by f ( x , y ) = 100 x 0.8 y 0.2 . Estimate the production level when x = 1000 and y = 2000.

To determine

To calculate: The production level of a manufacturer whose production can be modelled by F(x,y)=100x0.8y0.2

Explanation

Given Information:

The function for production F(x,y)=100x0.8y0.2 and x=1000andy=2000

Calculation:

Consider primary equation

F(x,y)=100x0.8y0.2

Now, substitute the given value of x=1000andy=2000 in above equation:

F(1000,2000)=100×(1000)0.8×(2000)0.2

Now, 0.8 can be written as 45 and 0

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