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 $19 per unit. Find the quantity that should be produced at each location to maximize the profit P = 19 x₁ = x₂ = 19(x₁ + x₂) − C₁ − C₂. =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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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 +590
and the cost of producing X₂ units at location 2 is
C₂ = 0.05x₂²
The candles sell for $19 per unit. Find the quantity that should be produced at each location to maximize the profit P =
X₁ =
x₂ =
+
- 4x2
+ 200
= 19(x₁ + x₂) - C₁-C₂₁
Transcribed Image Text: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 The candles sell for $19 per unit. Find the quantity that should be produced at each location to maximize the profit P = X₁ = x₂ = + - 4x2 + 200 = 19(x₁ + x₂) - C₁-C₂₁
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