If management decides that the number of units of Product 8 manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit? product A product B product C What is the maximum profit (in dollars)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 58P
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A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for
Departments I, II, and III are 900, 1020, and 780, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as
follows.
Product
A
Product
Product
B
Dept. I
Dept. II
Dept. II
2
Profit
$18
$12
$15
If management decides that the number of units of Product 8 manufactured must equal or exceed the number of units of products A and C manufactured,
how many units of each product should the company produce to maximize its profit?
product A
product B
product C
What is the maximum profit (in dollars)?
Transcribed Image Text:A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1020, and 780, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product Product B Dept. I Dept. II Dept. II 2 Profit $18 $12 $15 If management decides that the number of units of Product 8 manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit? product A product B product C What is the maximum profit (in dollars)?
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