A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x12 + 4x1 + 550 and the cost of producing x2 units at location 2 is C2 = 0.05x22 + 4x2 + 200 The candles sell for $13 per unit. Find the quantity that should be produced at each location to maximize the profit  P = 13x1 + x2 − C1 − C2.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
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A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is

C1 = 0.02x12 + 4x1 + 550

and the cost of producing x2 units at location 2 is

C2 = 0.05x22 + 4x2 + 200

The candles sell for $13 per unit. Find the quantity that should be produced at each location to maximize the profit 

P = 13x1 + x2 − C1 − C2.
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