6. Suppose a company has two separate plants that manufacture the same item. Suppose x is the amount produced at plant I and y is the amount at plant II. If the total cost function for the two plants is C(x,y) = 200 - 12x- 30y +0.03x +0.001y find the production allocation that minimizes the company's total cost.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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6. Suppose a company has two separate plants that manufacture the same item. Suppose x is the amount
produced at plant I and y is the amount at plant II. If the total cost function for the two plants is
C(x,y) = 200 - 12x - 30y + 0.03x² +0.001y3
find the production allocation that minimizes the company's total cost.
Transcribed Image Text:6. Suppose a company has two separate plants that manufacture the same item. Suppose x is the amount produced at plant I and y is the amount at plant II. If the total cost function for the two plants is C(x,y) = 200 - 12x - 30y + 0.03x² +0.001y3 find the production allocation that minimizes the company's total cost.
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