Consider the following linear programming problem: Мах 16x1 + 14x2 + 15x3 + 50x4 2x1 + 2x2 + 5x3 + 16x4 <800 3x1 + 2x2 + 2x3 + 5x4 <1000 2x1 + 1.2x2 + X3 + 4x4 S 680 X1, X2, X3, X4 20 s.t. :
Consider the following linear programming problem: Мах 16x1 + 14x2 + 15x3 + 50x4 2x1 + 2x2 + 5x3 + 16x4 <800 3x1 + 2x2 + 2x3 + 5x4 <1000 2x1 + 1.2x2 + X3 + 4x4 S 680 X1, X2, X3, X4 20 s.t. :
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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Solve for a through d

Transcribed Image Text:Consider the following linear programming problem:
Max
16x, + 14x2 + 15x3
+ 50x4
2x1 + 2x2 + 5x3 + 16x4 < 800
3x1 + 2x2 + 2x3 + 5x4 < 1000
2x1 + 1.2x2 + x3 + 4x4 < 680
X1, X2, X3, X4 20
s.t. :
Using the simplex method, we obtain the following optimal tableau. The variables x5 X6, x, are
slack variables.
X1
X2
X3
RHS
X4
40
b
X5
5
X6
X7
d.
1
5.5
19
1.5
-1
200
1
-11
-1
1
0.4
3.2
0.2
-0.8
1
40
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