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 780, 960, and 720, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Dept. I Dept. II Dept. II Profit Product A 2 3 2 $18 Product B 1 1 2 $12 What is the maximum profit (in dollars)? Product C 2 2 1 $15 If management decides that the number of units of Product B 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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
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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
780, 960, and 720, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows.
Dept. I
Dept. II
Dept. II
Profit
Product
A
2
3
2
$18
Product
B
1
1
2
$12
What is the maximum profit (in dollars)?
Product
с
2
2
1
$15
If management decides that the number of units of Product B 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
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 780, 960, and 720, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Dept. I Dept. II Dept. II Profit Product A 2 3 2 $18 Product B 1 1 2 $12 What is the maximum profit (in dollars)? Product с 2 2 1 $15 If management decides that the number of units of Product B 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
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