Question

A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x1^2 + 4x1 + 580, and the cost of producing x2 units at location 2 is C2 = 0.05x2^2 + 4x2 + 275. The candles sell for $17 per unit. Find the quantity that should be produced at each location to maximize the profit, P = 17(x1 + x2) - C1 - C2.

Name: a corporation manufactures candles at two locations the cost of producing x1 units at location 1 is c1 002x12 4x1 580 and the cost of producing x2 units at location 2 is c2 005x22 4x2 275 th 10641
Uploaded: 2023-03-12T17:53:44-08:00
Duration: 2 min 14 s
Channel: Sri K
Description: a corporation manufactures candles at two locations the cost of producing x1 units at location 1 is c1 002x12 4x1 580 and the cost of producing x2 units at location 2 is c2 005x22 4x2 275 th 10641

          A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x1^2 + 4x1 + 580, and the cost of producing x2 units at location 2 is C2 = 0.05x2^2 + 4x2 + 275. The candles sell for $17 per unit. Find the quantity that should be produced at each location to maximize the profit, P = 17(x1 + x2) - C1 - C2.

Added by Mar W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

03/12/2023

Step 1

P(x1, x2) = 17(x1 + x2) - C1 - C2 = 17x1 + 17x2 - (0.02x1^2 + 4x1 + 580) - (0.05x2^2 + 4x2 + 275) Show more…

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A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x1^2 + 4x1 + 580, and the cost of producing x2 units at location 2 is C2 = 0.05x2^2 + 4x2 + 275. The candles sell for $17 per unit. Find the quantity that should be produced at each location to maximize the profit, P = 17(x1 + x2) - C1 - C2.