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A corporation manufactures candles at two locations. The cost of producing x 1 units at location 1 is C 1 = 0.02 x 1 2

A corporation manufactures candles at two locations. The cost of producingx1units at location 1 is

C1= 0.02x12+4x1+700

and the cost of producingx2units at location 2 is

C2= 0.05x22+4x2+425.

The candles sell for$12per unit. What is the quantity that should be produced at each location to maximize the profit

P=12(x1+x2)C1C2.

x1=

x2=

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