Sketch the feasible region of the program and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution give the objective value for this solution. If an optimal solution does not exist, state why. maximize subject to - 2x1 + x₂ I1 - ₂ ≤ 1, 2x₁ - x₂ ≥ 1, 2x1 + 2x₂ ≥ 4, I1, I₂ 20
Sketch the feasible region of the program and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution give the objective value for this solution. If an optimal solution does not exist, state why. maximize subject to - 2x1 + x₂ I1 - ₂ ≤ 1, 2x₁ - x₂ ≥ 1, 2x1 + 2x₂ ≥ 4, I1, I₂ 20
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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Transcribed Image Text:Sketch the feasible region of the program and the direction of the objective
function.
Use you sketch to find an optimal solution to the program. State the optimal
solution give the objective value for this solution. If an optimal solution does
not exist, state why.
maximize
subject to
- 2x1 + x₂
I1 - ₂ ≤ 1,
2x₁ - x₂ ≥ 1,
2x1 + 2x₂ ≥ 4,
I1, I₂ 20
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