Req'd: Given: Min.Z = X₁ +8X2 s.t. Find the optimal solution if constraint 2 is changed to X₁ + X₂ =3 2X₁ +5X₂ ≥10 X₁ + X₂ ≥3 2 - X₁ + X₂ ≤2 2 X1, X₂ ≥0 X2

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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TOPIC: Two Methods in Finding the Optimal Solution

Note: To determine the values of Xl and X2 for each corner point, identify the constraints that intersect at that corner point, then solve the equations simultaneously.

Req'd:
Given: Min.Z = X₁ +8X2
s.t.
Find the optimal solution
if constraint 2 is changed to
X₁ + X₂
X2
= 3
2X₁ +5X₂ ≥10
X₁ + X₂ ≥ 3
- X₁ + X₂ ≤2
<2
X1, X₂ ≥0
Transcribed Image Text:Req'd: Given: Min.Z = X₁ +8X2 s.t. Find the optimal solution if constraint 2 is changed to X₁ + X₂ X2 = 3 2X₁ +5X₂ ≥10 X₁ + X₂ ≥ 3 - X₁ + X₂ ≤2 <2 X1, X₂ ≥0
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