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Max 50A + 60B +55C s.t. A + B + C≤ 100 2A + 3B + 2C ≤ 300 2A + 3B + 2C ≥ 250 A +2C ≥ 60 A, B, C ≥ 0 Q2.1. What would happen to the optimal solution if a) the unit profit on B decreases by 20? b) the unit profit on C decreases to 45? ( c) the unit profits A and C change to 53? ( d) What would happen to the objective function if the RHS of constraint 4 changes to 44?

Max 50A + 60B +55C s.t. A + B + C≤ 100 2A + 3B + 2C ≤ 300 2A + 3B + 2C ≥ 250 A +2C ≥ 60 A, B, C ≥ 0 Q2.1. What would happen to the optimal solution if a) the unit profit on B decreases by 20? b) the unit profit on C decreases to 45? ( c) the unit profits A and C change to 53? ( d) What would happen to the objective function if the RHS of constraint 4 changes to 44?

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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Max 50A + 60B +55C s.t. A + B + C≤ 100 2A + 3B + 2C ≤ 300 2A + 3B + 2C ≥ 250 A +2C ≥ 60 A, B, C ≥ 0 Q2.1. What would happen to the optimal solution if a) the unit profit on B decreases by 20? b) the unit profit on C decreases to 45? ( c) the unit profits A and C change to 53? ( d) What would happen to the objective function if the RHS of constraint 4 changes to 44?
Transcribed Image Text:Max 50A + 60B +55C s.t. A + B + C≤ 100 2A + 3B + 2C ≤ 300 2A + 3B + 2C ≥ 250 A +2C ≥ 60 A, B, C ≥ 0 Q2.1. What would happen to the optimal solution if a) the unit profit on B decreases by 20? b) the unit profit on C decreases to 45? ( c) the unit profits A and C change to 53? ( d) What would happen to the objective function if the RHS of constraint 4 changes to 44?
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