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A company manufactures handbags at two locations. The cost of producing a handbags at the first location is C(x) = 0.04x²+x+600 and the cost of producing y handbags at the second location is D(y) = 0.016y² + 3y + 500. The handbags sell for $70 per bag. Determine the quantity of handbags that need to be produced at each location to maximize the profit P(x, y) = 70(x + y) — C(x) — D(y).

A company manufactures handbags at two locations. The cost of producing a handbags at the first location is C(x) = 0.04x²+x+600 and the cost of producing y handbags at the second location is D(y) = 0.016y² + 3y + 500. The handbags sell for $70 per bag. Determine the quantity of handbags that need to be produced at each location to maximize the profit P(x, y) = 70(x + y) — C(x) — D(y).

Advanced Engineering Mathematics
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 company manufactures handbags at two locations. The cost of producing a handbags at the first location is C(x) = 0.04x² + x + 600 and the cost of producing y handbags at the second location is D(y) = 0.016y² +3y+500. The handbags sell for $70 per bag. Determine the quantity of handbags that need to be produced at each location to maximize the profit P(x, y) = 70(x + y) – C(x) — D(y). Round each quantity to the nearest whole number, and enter your answer as an ordered pair (x, y). Provide your answer below:
Transcribed Image Text:A company manufactures handbags at two locations. The cost of producing a handbags at the first location is C(x) = 0.04x² + x + 600 and the cost of producing y handbags at the second location is D(y) = 0.016y² +3y+500. The handbags sell for $70 per bag. Determine the quantity of handbags that need to be produced at each location to maximize the profit P(x, y) = 70(x + y) – C(x) — D(y). Round each quantity to the nearest whole number, and enter your answer as an ordered pair (x, y). Provide your answer below:
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