1) Max Z = x₁ + 3x2 s.t. 2x1 + 4x2 ≤ 14 6x1 + 2x2 ≤ 12 Xi≥0 The coefficients of the variables in the objective function of each problem represent the profit contributions of products X₁ and x2 in each problem. Try to understand intuitively why the optimal solution is changing for each problem (at a different corner point).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 62P
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1) Max Z = x₁ + 3x2
s.t.
2x1 + 4x2 ≤ 14
6x1 + 2x2 ≤ 12
Xi≥ 0
The coefficients of the variables in the objective function of each problem represent the profit contributions
of products x₁ and x2 in each problem. Try to understand intuitively why the optimal solution is changing
for each problem (at a different corner point).
Transcribed Image Text:1) Max Z = x₁ + 3x2 s.t. 2x1 + 4x2 ≤ 14 6x1 + 2x2 ≤ 12 Xi≥ 0 The coefficients of the variables in the objective function of each problem represent the profit contributions of products x₁ and x2 in each problem. Try to understand intuitively why the optimal solution is changing for each problem (at a different corner point).
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