A firin 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) = 4x²+ xy+8y²+5600 A) If the company's objective is to produce 900 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, 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 any commas in your answer.) Question Help: Video Submit Question esc dollars. (Do not enter MacBooki @ # $ % 1 2 3 4 5 6

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
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A firin 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) = 4x²+ xy+8y²+5600
A) If the company's objective is to produce 900 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, 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
any commas in your answer.)
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dollars. (Do not enter
MacBooki
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#
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%
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2
3
4
5
6
Transcribed Image Text:A firin 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) = 4x²+ xy+8y²+5600 A) If the company's objective is to produce 900 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, 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 any commas in your answer.) Question Help: Video Submit Question esc dollars. (Do not enter MacBooki @ # $ % 1 2 3 4 5 6
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