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 =
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 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is
C1 = 0.02x1? + 3x1 + 500
and the cost of producing x2 units at location 2 is
C2 = 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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