Consider the following maximization problem. Maximize subject to the constraints 22 0 1 0 0 X1 1 0 0 15x1 x1 11x1 First find the initial tableau and then perform the first (just one) pivot. (please remember webwork puts the z-row at the bottom) 0 X1 ≥ 0 €2 ន 1 15 z = 3x₁ + x₂ - 10x3 1 0 −1 X2 + 13x2 + + x₂ > 0 X3 8 15 11 13 10 81 1 15 0 0 8x345 11x3 ≤ 28 13x3 < 60 0 x3 0 82 0 1 0 0 83 0 0 1 0 RHS 3 28 5.45 0

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 34P
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Consider the following maximization problem.
Maximize
subject to the constraints
22
0 1
0
0
01
1
0
0
15x1
X1
11x1
0
T1 ≥ 0
First find the initial tableau and then perform the first (just one) pivot.
(please remember webwork puts the z-row at the bottom)
X2
ន
1
15
z =
1
0
-1
· 3x1 + x2
x2 +
13x +
+
x₂ > 0
I3
8
15
11
13
—
10
81
1
15
0
0
10x3
0
8x345
11x3 < 28
13x3 ≤ 60
X3 > 0
82
0
83
0
1 0
0
1
0 0
RHS
3
28
5.45
0
Transcribed Image Text:Consider the following maximization problem. Maximize subject to the constraints 22 0 1 0 0 01 1 0 0 15x1 X1 11x1 0 T1 ≥ 0 First find the initial tableau and then perform the first (just one) pivot. (please remember webwork puts the z-row at the bottom) X2 ន 1 15 z = 1 0 -1 · 3x1 + x2 x2 + 13x + + x₂ > 0 I3 8 15 11 13 — 10 81 1 15 0 0 10x3 0 8x345 11x3 < 28 13x3 ≤ 60 X3 > 0 82 0 83 0 1 0 0 1 0 0 RHS 3 28 5.45 0
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