A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x1² + 4x1 + 700 and the cost of producing x, units at location 2 is C2 = 0.05x2² + 4x2 + 475. 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 =

Intermediate Algebra
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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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 + 700
and the cost of producing x, units at location 2 is
C2 = 0.05x2² + 4x2 + 475.
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 =
Transcribed Image Text:A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is C1 = 0.02x1² + 4x1 + 700 and the cost of producing x, units at location 2 is C2 = 0.05x2² + 4x2 + 475. 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 =
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