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, and produced at each factory, respectively, and is expressed by the joint cost function: C(x,y)=4x²+xy+8y²+4000 A) If the company's objective is to produce 1,700 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: units at Factory X and units at Factory Y B) For this combination of units, their minimal costs will be dollars. (Do not enter any commas in your answer.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
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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, and produced at each factory, respectively, and is expressed by
the joint cost function:
C(x,y)=4x²+xy+8y²+4000
A) If the company's objective is to produce 1,700 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:
units at Factory X and
units 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, and produced at each factory, respectively, and is expressed by the joint cost function: C(x,y)=4x²+xy+8y²+4000 A) If the company's objective is to produce 1,700 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: units at Factory X and units 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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