Solve the following linear program using the Simplex method: Z=-6 x₁-10 x₂-4 x3 Minimize Subject to. x₁ + x₂ + x₂ ≤ 1000 Xx₁ + x₂ ≤ 500 x₂ + 2x₂ ≤ 700 X₁20 x₂ 20 X3 20 Your answer should include the following: a. The initial BF solution of the problem?.. b. The LP in both the augmented and tabular forms. c. Make all the required calculations and iterations to find the optimal solution. d. Highlight the pivot row, column, and number "circled" in each iteration,
Solve the following linear program using the Simplex method: Z=-6 x₁-10 x₂-4 x3 Minimize Subject to. x₁ + x₂ + x₂ ≤ 1000 Xx₁ + x₂ ≤ 500 x₂ + 2x₂ ≤ 700 X₁20 x₂ 20 X3 20 Your answer should include the following: a. The initial BF solution of the problem?.. b. The LP in both the augmented and tabular forms. c. Make all the required calculations and iterations to find the optimal solution. d. Highlight the pivot row, column, and number "circled" in each iteration,
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:Solve the following linear program using the Simplex method:
Z=-6 x₁-10 x₂-4 x3
Minimize
Subject to.
x₁ + x₂ + x₂ ≤ 1000
X₁ + X₂ ≤ 500
x₁ + 2x₂ ≤ 700
X₁20 X₂ 20 X3 20
Your answer should include the following:
a. The initial BF solution of the problem?...
b. The LP in both the augmented and tabular forms.
c. Make all the required calculations and iterations to find the optimal solution.
d. Highlight the pivot row, column, and number "circled" in each iteration,
e. The optimal value of the decision variables x₁, x₂.x, and the objective function Z.
Z................ X₁..
X₂.
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