ADVANCED ENGINEERING MATH.>CUSTOM<
10th Edition
ISBN: 9781119480150
Author: Kreyszig
Publisher: WILEY C
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For the Big-M tableau (of a maximization LP and row0 at bottom and M=1000),
Z
Ꮖ 1
x2
x3
81
82
83
e4
a4
RHS
0
7
0
0
1
0 4
3
-3
20
0
-4.5
0
0
0
1
-8 -2.5
2.5
6
0
7
0
1
0
0 8
3
-3
4
0
-1
50
1
0
0
0-2
-1
1
4
0000
0
30 970 200
If the original value of c₁ is increased by 60, what is the updated value of c₁ (meaning keeping the same set for BV. -10?
Having made that change, what is the new optimal value for ž?
Here is the optimal tableau for a standard Max problem.
zx1
x2
x3
24
81
82
83
rhs
1
0
5
3
0
6
0
1
.3
7.5 0
-
.1
.2
0 0
28
360
0
-8
522
0
2700
0
6
12
1
60
0
0
-1/15-3
1
1/15 -1/10 0
2
Using that the dual solution y = CBy B-1 and finding B = (B-¹)-¹
we find the original CBV and rhs b.
The allowable increase for b₂ is
If b₂ is increased by 3 then, using Dual Theorem, the new value for * is
If c₂ is increased by 10, then the new value for optimal > is
i.e. if no change to BV, then just a change to profit on selling product 2.
The original coefficients c₁ =
=☐ a
and c4 = 5
If c4 is changed to 512, then (first adjusting other columns of row0 by adding Delta times row belonging to x4
or using B-matrix method to update row0)
the new optimal value, after doing more simplex algorithm, for > is
Please show in mathematical form.
Chapter 23 Solutions
ADVANCED ENGINEERING MATH.>CUSTOM<
Ch. 23.1 - Prob. 1PCh. 23.1 -
Sketch the graph consisting of the vertices and...Ch. 23.1 -
Worker W1 can do jobs J1, J3, J4, worker W2 job...Ch. 23.1 - Prob. 6PCh. 23.1 - Prob. 7PCh. 23.1 - Prob. 8PCh. 23.1 - Prob. 9PCh. 23.1 - Find the adjacency matrix of the given graph or...Ch. 23.1 - Prob. 11PCh. 23.1 - Prob. 12P
Ch. 23.1 - Prob. 13PCh. 23.1 - Prob. 14PCh. 23.1 - Prob. 15PCh. 23.1 - Prob. 16PCh. 23.1 - Prob. 17PCh. 23.1 - Prob. 18PCh. 23.1 - Prob. 19PCh. 23.1 - Prob. 20PCh. 23.2 - Prob. 1PCh. 23.2 - Prob. 2PCh. 23.2 - Prob. 3PCh. 23.2 - Prob. 4PCh. 23.2 - Prob. 5PCh. 23.2 - Prob. 6PCh. 23.2 - Prob. 8PCh. 23.2 - Prob. 10PCh. 23.2 - Find and sketch a Hamiltonian cycle in Prob. 1.
1....Ch. 23.2 - Prob. 12PCh. 23.2 - Prob. 13PCh. 23.2 - Prob. 14PCh. 23.2 - Prob. 15PCh. 23.2 - Find four different closed Euler trails in Fig....Ch. 23.2 - Prob. 17PCh. 23.3 - The net of roads in Fig. 488 connecting four...Ch. 23.3 - Prob. 2PCh. 23.3 - Prob. 3PCh. 23.3 - Prob. 4PCh. 23.3 - Prob. 5PCh. 23.3 - DIJKSTRA’S ALGORITHM
For each graph find the...Ch. 23.3 - Prob. 7PCh. 23.3 - Prob. 8PCh. 23.3 - Prob. 9PCh. 23.4 - Prob. 1PCh. 23.4 - Prob. 2PCh. 23.4 - Prob. 3PCh. 23.4 - Prob. 4PCh. 23.4 - Prob. 5PCh. 23.4 - Prob. 6PCh. 23.4 - Prob. 8PCh. 23.4 - Prob. 9PCh. 23.4 - Prob. 10PCh. 23.4 - Prob. 11PCh. 23.4 - Prob. 12PCh. 23.4 - Prob. 13PCh. 23.4 - Prob. 14PCh. 23.4 - Prob. 15PCh. 23.4 - Prob. 16PCh. 23.4 - Prob. 17PCh. 23.4 - Prob. 18PCh. 23.4 - Prob. 19PCh. 23.4 - Prob. 20PCh. 23.5 - Prob. 1PCh. 23.5 - Prob. 2PCh. 23.5 - Prob. 3PCh. 23.5 - Prob. 4PCh. 23.5 - Prob. 5PCh. 23.5 - Prob. 6PCh. 23.5 - Prob. 7PCh. 23.5 - Prob. 8PCh. 23.5 - Prob. 9PCh. 23.5 - Prob. 10PCh. 23.5 - Prob. 11PCh. 23.5 - Prob. 12PCh. 23.6 - Prob. 1PCh. 23.6 - Prob. 2PCh. 23.6 - Prob. 3PCh. 23.6 - Prob. 4PCh. 23.6 - Prob. 5PCh. 23.6 - Prob. 6PCh. 23.6 - Prob. 7PCh. 23.6 - Prob. 8PCh. 23.6 - Why are backward edges not considered in the...Ch. 23.6 - Prob. 10PCh. 23.6 - Prob. 11PCh. 23.6 - Prob. 12PCh. 23.6 - Prob. 13PCh. 23.6 - Prob. 14PCh. 23.6 - Prob. 15PCh. 23.6 - Prob. 16PCh. 23.6 - Prob. 17PCh. 23.6 - Prob. 18PCh. 23.6 - Prob. 19PCh. 23.6 - Prob. 20PCh. 23.7 - Prob. 1PCh. 23.7 - Prob. 2PCh. 23.7 - Which are the “bottleneck” edges by which the flow...Ch. 23.7 - Prob. 4PCh. 23.7 - How does Ford–Fulkerson prevent the formation of...Ch. 23.7 - Prob. 6PCh. 23.7 - Prob. 7PCh. 23.7 - Prob. 8PCh. 23.7 - Prob. 9PCh. 23.7 - Prob. 10PCh. 23.7 - Prob. 12PCh. 23.7 - Prob. 13PCh. 23.7 - Prob. 14PCh. 23.7 - Prob. 15PCh. 23.7 - Prob. 16PCh. 23.7 - Prob. 17PCh. 23.7 - Prob. 18PCh. 23.7 - Several sources and sinks. If a network has...Ch. 23.7 - Prob. 20PCh. 23.8 - Prob. 1PCh. 23.8 - Prob. 2PCh. 23.8 - Prob. 3PCh. 23.8 - Prob. 4PCh. 23.8 - Prob. 5PCh. 23.8 - Prob. 6PCh. 23.8 - Prob. 7PCh. 23.8 - Prob. 8PCh. 23.8 - Prob. 9PCh. 23.8 - Prob. 10PCh. 23.8 - Prob. 11PCh. 23.8 - Prob. 12PCh. 23.8 - Prob. 13PCh. 23.8 - Prob. 14PCh. 23.8 - Prob. 15PCh. 23.8 - Prob. 16PCh. 23.8 - Prob. 17PCh. 23.8 - Prob. 18PCh. 23.8 - Prob. 19PCh. 23.8 - Prob. 20PCh. 23.8 - Prob. 21PCh. 23.8 - Prob. 22PCh. 23.8 - Prob. 23PCh. 23.8 - Prob. 24PCh. 23.8 - Prob. 25PCh. 23.8 - Prob. 26PCh. 23 - Prob. 1RQCh. 23 - Prob. 2RQCh. 23 - Prob. 3RQCh. 23 - Prob. 4RQCh. 23 - Prob. 5RQCh. 23 - Prob. 6RQCh. 23 - Prob. 7RQCh. 23 - Prob. 8RQCh. 23 - Prob. 9RQCh. 23 - Prob. 10RQCh. 23 - Prob. 11RQCh. 23 - Prob. 12RQCh. 23 - Prob. 13RQCh. 23 - Prob. 14RQCh. 23 - Prob. 15RQCh. 23 - Prob. 16RQCh. 23 - Prob. 17RQCh. 23 - Prob. 18RQCh. 23 - Prob. 19RQCh. 23 - Prob. 20RQCh. 23 - Prob. 21RQCh. 23 - Prob. 22RQCh. 23 - Prob. 23RQCh. 23 - Prob. 24RQ
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