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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 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 x X 3 2 $18 Product B 1 1 2 $12 What is the maximum profit (in dollars)? $ 8640 Product с с 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 120 product B 200 product C 320 2 2 1 $15

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 x X 3 2 $18 Product B 1 1 2 $12 What is the maximum profit (in dollars)? $ 8640 Product с с 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 120 product B 200 product C 320 2 2 1 $15

Advanced Engineering Mathematics
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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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: | | Product A | Product B | Product C | |--------------|-----------|-----------|-----------| | Dept. I | 2 | 1 | 2 | | Dept. II | 3 | 1 | 2 | | Dept. III | 2 | 2 | 1 | | Profit | $18 | $12 | $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: 120 (Incorrect) - Product B: 200 - Product C: 320 (Correct) What is the maximum profit (in dollars)? - $8640 (Correct)
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: | | Product A | Product B | Product C | |--------------|-----------|-----------|-----------| | Dept. I | 2 | 1 | 2 | | Dept. II | 3 | 1 | 2 | | Dept. III | 2 | 2 | 1 | | Profit | $18 | $12 | $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: 120 (Incorrect) - Product B: 200 - Product C: 320 (Correct) What is the maximum profit (in dollars)? - $8640 (Correct)
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