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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 + 500 and

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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 + 500 and the cost of producing x2 units at location 2 is c2 = 0.05x22 + 4x2 + 250 The candles sell for $18 per unit. Find the quantity that should be produced at each location to maximize the profit P = 18(x1 + x2) C1 C2. X2: X

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