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A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars)

A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, r and y produced at each factory, respectively, and is expressed by the joint cost function: C(r, y) = 2x² + xy + 8y² + 2400 A) If the company's objective is to produce 1,600 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to whole units, ie. no decimal places.) To minimize costs, the company should produce: | at Factory X and | at Factory Y B) For this combination of units, their minimal costs will be dollars. (Do not enter any commas in your answer.)
Transcribed Image Text:A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, r and y produced at each factory, respectively, and is expressed by the joint cost function: C(r, y) = 2x² + xy + 8y² + 2400 A) If the company's objective is to produce 1,600 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to whole units, ie. no decimal places.) To minimize costs, the company should produce: | at Factory X and | at Factory Y B) For this combination of units, their minimal costs will be dollars. (Do not enter any commas in your answer.)
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