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State how the optimal objective value will change for each of the following changes made without actually solving the problem. You should explain how you derive your conclusion. (a) Add a new constraint 1+12 ≤ 0; (b) The objective function changes to 4x1 + 7x2 + 5x3; (c) The first constraint changes to 2₁- - 2x2 + x3 ≤ 50; (d) The second constraint changes to 21 +372 +23 ≥ 100; (e) The second constraint changes to 21 +32 + x ≥ 120;

State how the optimal objective value will change for each of the following changes made without actually solving the problem. You should explain how you derive your conclusion. (a) Add a new constraint 1+12 ≤ 0; (b) The objective function changes to 4x1 + 7x2 + 5x3; (c) The first constraint changes to 2₁- - 2x2 + x3 ≤ 50; (d) The second constraint changes to 21 +372 +23 ≥ 100; (e) The second constraint changes to 21 +32 + x ≥ 120;

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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State how the optimal objective value will change for each of the following changes made without actually solving the problem. You should explain how you derive your conclusion. (a) Add a new constraint 1+12 ≤ 0; (b) The objective function changes to 4x1 + 7x2 + 5x3; (c) The first constraint changes to ₁-2x2 + x3 ≤ 50; (d) The second constraint changes to a1 +372 +232 100; (e) The second constraint changes to 2r1 +37₂ +3 ≥ 120;
Transcribed Image Text:State how the optimal objective value will change for each of the following changes made without actually solving the problem. You should explain how you derive your conclusion. (a) Add a new constraint 1+12 ≤ 0; (b) The objective function changes to 4x1 + 7x2 + 5x3; (c) The first constraint changes to ₁-2x2 + x3 ≤ 50; (d) The second constraint changes to a1 +372 +232 100; (e) The second constraint changes to 2r1 +37₂ +3 ≥ 120;
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