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) = x² + xy + 2y² + 500 A) If the company's objective is to produce 1,600 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to 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 enter any commas in your answer.) dollars. (Do not
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) = x² + xy + 2y² + 500 A) If the company's objective is to produce 1,600 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to 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 enter any commas in your answer.) dollars. (Do not
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = x² + xy + 2y² + 500
A) If the company's objective is to produce 1,600 units per month while minimizing the total monthly
cost of production, how many units should be produced at each factory? (Round your answer to
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
enter any commas in your answer.)
dollars. (Do not](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbe77393-c47c-4fdf-9112-c1e3e99e4720%2F552a29b4-699d-449f-8b11-ef052a3d80ea%2Fmz3w6rs_processed.png&w=3840&q=75)
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) = x² + xy + 2y² + 500
A) If the company's objective is to produce 1,600 units per month while minimizing the total monthly
cost of production, how many units should be produced at each factory? (Round your answer to
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
enter any commas in your answer.)
dollars. (Do not
![Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 2 cents
per cm² and whose sides cost 8 cents per cm². Round your answer to nearest whole number cents.
Cost:
=
cents.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbe77393-c47c-4fdf-9112-c1e3e99e4720%2F552a29b4-699d-449f-8b11-ef052a3d80ea%2Fwuyjmh_processed.png&w=3840&q=75)
Transcribed Image Text:Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 2 cents
per cm² and whose sides cost 8 cents per cm². Round your answer to nearest whole number cents.
Cost:
=
cents.
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