A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is C₁ = 0.02x₁² + 4x₁ +590 and the cost of producing x₂ units at location 2 is C₂ = 0.05x₂² + 4x₂ + 200 The candles sell for $16 per unit. Find the quantity that should be produced at each location to maximize the profit P = 16(x₁ + x₂) − C₁ − C₂. x1 = x₂ II

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