Problem #4: If x is the number of thousands of dollars spent on labour, and y is the thousands of dollars spent on parts, then the output of a factory is given by: Q(x, y) = 42x5,4A/5 %3D Where Q is the output in millions of units of product. Now, if $128,000 is to be spent on parts and labour, how much should be spent on each to optimize output? Round your answers to the nearest dollar.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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Problem #4: If x is the number of thousands of dollars spent on labour, and y is the
thousands of dollars spent on parts, then the output of a factory is given
by:
Q(x, y) = 42x1/5,4/5
Where Q is the output in millions of units of product.
Now, if $128,000 is to be spent on parts and labour, how much should
be spent on each to optimize output?
Round your answers to the nearest dollar.
Transcribed Image Text:Problem #4: If x is the number of thousands of dollars spent on labour, and y is the thousands of dollars spent on parts, then the output of a factory is given by: Q(x, y) = 42x1/5,4/5 Where Q is the output in millions of units of product. Now, if $128,000 is to be spent on parts and labour, how much should be spent on each to optimize output? Round your answers to the nearest dollar.
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