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A corporation manufactures candles at two locations. The cost of producingx 1 units at location 1 isC 1 = 0.02x 1 2 +5x 1 +800

A corporation manufactures candles at two locations. The cost of producingx1units at location 1 isC1= 0.02x12+5x1+800

and the cost of producingx2unitsatlocation 2isC2= 0.05x22+5x2+375. The candles sell for $18per unit.

Find the quantity that should be produced at each location to maximize the profitP=18(x1+x2)C1C2.

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