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 1080, 1200, and 960, 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 X X ✓ Product B 1 1 2 $12 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 192 product B 192 product C 320
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 1080, 1200, and 960, 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 X X ✓ Product B 1 1 2 $12 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 192 product B 192 product C 320
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help with part A and B
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 1080, 1200,
and 960, 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
X
X
Product
B
1
1
2
$12
What is the maximum profit (in dollars)?
$ 8640
Product
C
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 192
product B
192
product C
320
2
2
1
$15
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