A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x12 + 3x1 + 500 and the cost of producing x2 units at location 2 is C, = 0.05x22 + 3x2 + 325. The candles sell for $11 per unit. Find the quantity that should be produced at each location to maximize the profit P = 11(x1 + X2) – C1 – C2. X1 = X2 =

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