A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x1^2 + 2x1 + 800, and the cost of producing x2 units at location 2 is C2 = 0.05x2^2 + 2x2 + 225. 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.
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