(Profit) A company manufactures two products, A and B. If x is the number of thousands of units of A and 24) y is the number of thousands of units of B, then the cost and revenue in thousands of dollars are C(x, y)= 2x – 2.xy+ y² – 7x-10y+11, R(x, y)= 5x+8y. Find the number of each type of product that should be manufactured to maximize profit. What is the maximum profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 41E
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A company manufactures two products, A and B. If x is the number of thousands of units of A and y is the number of thousands of units of B, then the cost and revenue in thousands of dollars are
C(x,y)=2x2-2xy+y2-7x-10y+11

R(x,y)=5x+8y
Find the number of each type of product that should be manufactured to maximize profit. What is the maximum profit?

(Profit) A company manufactures two products, A and B. If x is the number of thousands of units of A and
24)
y is the number of thousands of units of B, then the cost and revenue in thousands of dollars are
C(x, y)= 2x – 2.xy+ y² – 7x-10y+11,
R(x, y)= 5x+8y.
Find the number of each type of product that should be manufactured to maximize profit. What is the maximum
profit?
Transcribed Image Text:(Profit) A company manufactures two products, A and B. If x is the number of thousands of units of A and 24) y is the number of thousands of units of B, then the cost and revenue in thousands of dollars are C(x, y)= 2x – 2.xy+ y² – 7x-10y+11, R(x, y)= 5x+8y. Find the number of each type of product that should be manufactured to maximize profit. What is the maximum profit?
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