c. Maximize Z Subject to 6A + 3B (revenue) Material 20A +6B ≤ 600 kg Machinery 25A + 20B ≤ 1,000 hr Labour 20A 30B ≤ 1,200 hr A, B 2 0 i. What are the optimal values of the decision variables and Z? ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have? iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have? iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.
c. Maximize Z Subject to 6A + 3B (revenue) Material 20A +6B ≤ 600 kg Machinery 25A + 20B ≤ 1,000 hr Labour 20A 30B ≤ 1,200 hr A, B 2 0 i. What are the optimal values of the decision variables and Z? ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have? iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have? iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.
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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Hi,
I am working on this linear program question. This is for supply chain management, how do i calculate this using the graphical solution procedure?
Thanks
![c. Maximize Z = 6A + 3B (revenue)
Subject to
Material
Machinery
Labour
10
20A +6B ≤ 600 kg
1,000 hr
25A + 20B ≤
20A + 30B ≤ 1,200 hr
A, B ≥ 0
i. What are the optimal values of the decision variables and Z?
ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have?
iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have?
iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0a8a8b2-22c4-42fd-96b3-e86c4fe33385%2F61cacae4-c2b5-4a2a-aa53-ad0fedd2469c%2Fc8581o_processed.png&w=3840&q=75)
Transcribed Image Text:c. Maximize Z = 6A + 3B (revenue)
Subject to
Material
Machinery
Labour
10
20A +6B ≤ 600 kg
1,000 hr
25A + 20B ≤
20A + 30B ≤ 1,200 hr
A, B ≥ 0
i. What are the optimal values of the decision variables and Z?
ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have?
iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have?
iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.
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