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(a, y) la? + xy + 4y + 1200 A) If the company's objective is to produce 1,100 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

Calculus: Early Transcendentals
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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) = læ? + xy + 4y2 + 1200
%3D
A) If the company's objective is to produce 1,100 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
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) = læ? + xy + 4y2 + 1200 %3D A) If the company's objective is to produce 1,100 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 dollars. (Do not enter any commas in your answer.)
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