Profit A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is C₁ = 0.02x2 + 2x + 500 and the cost of producing X2 location 2 is C₂ = 0.05x22 + 2x2 + 225. 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 Find p₁ and p2, the prices per unit (in dollars), so as to maximize the total revenue R = x+P+X2P2, where x, and x, are the numbers of units s sells two substitute products with the given demand functions. P1 = $ 17 17 P₂ = $ *₁ = 696 - 4p₁ + 2P2 x2 = 822 + 4p1 - 3p2 HEGEH

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
Question
Profit A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is C₁ = 0.02x2 + 2x + 500 and the cost of producing X2
location 2 is C₂ = 0.05x22 + 2x2 + 225.
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:Profit A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is C₁ = 0.02x2 + 2x + 500 and the cost of producing X2 location 2 is C₂ = 0.05x22 + 2x2 + 225. 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
Find p₁ and p2, the prices per unit (in dollars), so as to maximize the total revenue R = x+P+X2P2, where x, and x, are the numbers of units s
sells two substitute products with the given demand functions.
P1
=
$
17 17
P₂ = $
*₁ = 696 - 4p₁ + 2P2 x2 = 822 + 4p1 - 3p2
HEGEH
Transcribed Image Text:Find p₁ and p2, the prices per unit (in dollars), so as to maximize the total revenue R = x+P+X2P2, where x, and x, are the numbers of units s sells two substitute products with the given demand functions. P1 = $ 17 17 P₂ = $ *₁ = 696 - 4p₁ + 2P2 x2 = 822 + 4p1 - 3p2 HEGEH
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