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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, æ and y produced at each factory, respectively, and is expressed by the joint cost function: C(2, y) = 2a? + æy+ 8y? + 2000 A) If the company's objective is to produce 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 the nearest whole units, i.e. 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 çommas in your answer.)

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, æ and y produced at each factory, respectively, and is expressed by the joint cost function: C(2, y) = 2a? + æy+ 8y? + 2000 A) If the company's objective is to produce 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 the nearest whole units, i.e. 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 çommas in your answer.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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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, x and y produced at each factory, respectively, and is expressed by the joint cost function: C(2, y) = 2a? + xy+ 8y? + 2000 A) If the company's objective is to produce 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 the nearest whole units, i.e. 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, x and y produced at each factory, respectively, and is expressed by the joint cost function: C(2, y) = 2a? + xy+ 8y? + 2000 A) If the company's objective is to produce 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 the nearest whole units, i.e. 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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