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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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
Transcribed Image Text:Redo the problem in this example using the Cobb-Douglas production function:
1
3
160000 = x4y4.
%3D
dy
%3D
dx
When the amount of labor used is x = 256 labor hours and the capital investment is y = 625 dollars,
increasing labor by 1 hour could allow capital investment to decrease by how many dollars?
(Hint: Because we're asking by how much it will decrease, you don't need to
include a negative sign in your answer.)
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