A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: Department Production requirement Departmental capacity by product (hours) Ав с (Total hours) Assembling Painting Finishing 2 3 2 30,000 1 2 2 38,000 28,000 2 3 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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What is the maximum profit in this model?

A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and
$15 for C. The production requirements and departmental capacities are as follows:
Department Production requirement Departmental capacity
by product (hours)
Ав с
(Total hours)
Assembling
Painting
Finishing
2 3 2
30,000
1
2 2
38,000
28,000
2
3
1
Transcribed Image Text:A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: Department Production requirement Departmental capacity by product (hours) Ав с (Total hours) Assembling Painting Finishing 2 3 2 30,000 1 2 2 38,000 28,000 2 3 1
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