Solve the following linear program using the Simplex method: Z=-7x₁-6x2 Minimize Subject to. x₁ + x₂ ≤4 2x₁ + x₂ ≤6 X₂ ≤4 X₁20, X₂20 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 the pivot number "circled" in each iteration, e. The optimal value of the decision variables x₁, x₂ and the objective function Z. Z-... **************y x₁=

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.3: Capital Budgeting Models
Problem 3P: Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows:...
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Solve the following linear program using the Simplex method:
Minimize
Subject to.
Z=-7x₁1-6x₂
x₁ + x₂ ≤4
2x₁ + x₂ ≤6
x₂ ≤4
x₁20, X₂20
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 the pivot number "circled" in
each iteration,
e. The optimal value of the decision variables x₁, x₂ and the objective
function Z.
Z=.............., x₁=
X2²
Transcribed Image Text:Solve the following linear program using the Simplex method: Minimize Subject to. Z=-7x₁1-6x₂ x₁ + x₂ ≤4 2x₁ + x₂ ≤6 x₂ ≤4 x₁20, X₂20 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 the pivot number "circled" in each iteration, e. The optimal value of the decision variables x₁, x₂ and the objective function Z. Z=.............., x₁= X2²
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