Exercise A steel mill produces two types of steel alloy: boral and chromal. Production of each alloy requires three processes: Box anneal, Cold Roll, and Strand anneal. Production capacities are: Box anneal: 4,000 hours/month Cold Roll: 500 hours/month Strand anneal: 1,000 hours/month Production rates in tons per hour are: Box anneal Cold roll pass 1 Strand anneal Cold roll pass 2 Boral 4 72 11 36 Chromal 2 Not required 20 24 The maximum demand for boral is 10,500 tons/month and for chromal 6,000 tons/month. The contributions/ton are boral: $25, and chromal: $35. Question What combination of boral and chromal maximizes total monthly contribution?
Exercise A steel mill produces two types of steel alloy: boral and chromal. Production of each alloy requires three processes: Box anneal, Cold Roll, and Strand anneal. Production capacities are: Box anneal: 4,000 hours/month Cold Roll: 500 hours/month Strand anneal: 1,000 hours/month Production rates in tons per hour are: Box anneal Cold roll pass 1 Strand anneal Cold roll pass 2 Boral 4 72 11 36 Chromal 2 Not required 20 24 The maximum demand for boral is 10,500 tons/month and for chromal 6,000 tons/month. The contributions/ton are boral: $25, and chromal: $35. Question What combination of boral and chromal maximizes total monthly contribution?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 70P
Related questions
Question
Exercise
A steel mill produces two types of steel alloy: boral and chromal. Production of each alloy requires three processes: Box anneal, Cold Roll, and Strand anneal. Production capacities are:
|
Box anneal: |
4,000 hours/month |
|
Cold Roll: |
500 hours/month |
|
Strand anneal: |
1,000 hours/month |
Production rates in tons per hour are:
|
Box anneal |
Cold roll pass 1 |
Strand anneal |
Cold roll pass 2 |
|
|
Boral |
4 |
72 |
11 |
36 |
|
Chromal |
2 |
Not required |
20 |
24 |
The maximum demand for boral is 10,500 tons/month and for chromal 6,000 tons/month. The contributions/ton are boral: $25, and chromal: $35.
Question
What combination of boral and chromal maximizes total monthly contribution?
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