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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(x, y) = lx? + xy + 4y? + 800 A) If the company's objective is to produce 2,000 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.)

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(x, y) = lx? + xy + 4y? + 800 A) If the company's objective is to produce 2,000 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.)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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(x, y) = lx? + xy + 4y? + 800 A) If the company's objective is to produce 2,000 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(x, y) = lx? + xy + 4y? + 800 A) If the company's objective is to produce 2,000 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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