Solve the following linear programming model by the Simplex Method: Maximum (Z) = 3X1 + 5X2 ---------- (OF) Subject to: X1 + 6X2 < 180 --------- (1) 3X1 + 2X2 s 240 --------- (2) X1, X2 > 0 1. Prepare the initial (first) table of Simplex 2. Determine the Entering Variable (EV), Leaving Variable (LV) and the pivot number 3. Is the above solution represent an optimal solution? If not, prepare the Second table of simplex ONLY

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
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Solve the following linear programming model by the
Simplex Method:
Maximum (Z) = 3X1 + 5X2 ----------- (OF)
Subject to: X1 + 6X2 < 180 --------- (1)
3X1 + 2X2 s 240 --------- (2)
X1, X2 > 0
1.
Prepare the initial (first) table of Simplex
Is the above solution represent an optimal solution? If not, prepare the Second table of simplex ONLY
3.
2.
Determine the Entering Variable (EV), Leaving Variable (LV) and the pivot number
Transcribed Image Text:Solve the following linear programming model by the Simplex Method: Maximum (Z) = 3X1 + 5X2 ----------- (OF) Subject to: X1 + 6X2 < 180 --------- (1) 3X1 + 2X2 s 240 --------- (2) X1, X2 > 0 1. Prepare the initial (first) table of Simplex Is the above solution represent an optimal solution? If not, prepare the Second table of simplex ONLY 3. 2. Determine the Entering Variable (EV), Leaving Variable (LV) and the pivot number
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