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 C2 = 0.05x22 + 3x2 + 225. The candles sell for $14 per unit. Find the quantity that should be produced at each location to maximize the profit P = 14(x1 + x2) − C1 − C2.
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02x1^2 + 3x1 + 500) - (0.05x2^2 + 3x2 + 225) Show more…
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