Question

A corporation manufactures candles at two locations. The cost of producing x1 units at location 1...

A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is

C1 = 0.02x12 + 2x1 + 400

and the cost of producing x2 units at location 2 is

C2 = 0.05x22 + 2x2 + 225.

The candles sell for $14 per unit. Find the quantity that should be produced at each location to maximize the profit

P = 14(x1 + x2) − C1 − C2.

Math   Calculus   
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