3. While solving a standard form problem, we arrive at the following tableau, with 3 and 2, being the basic variables. XB Z I 12 23 A Z 1 0 B 0 20 320 13 0 0 1 2 -1 8 21 0 1 Y 0 CY 8 The entries a, B, in the tableau are unknown parameters. (a) Suppose the LP problem was a minimization problem, give the range of values of the unknown parameters, that would make the optimal cost be -0. (b) Suppose the problem was a maximization problem, give the range of values of the unknown parameters, that would make the current solution to be optimal. Hence state the optimal solution. (c) Suppose that it is a maximization problem and that ẞ= -10, a == explain why the current solution is feasible but not optimal. Hence proceed and determine the optimal solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. While solving a standard form problem, we arrive at the following tableau, with
3 and 2, being the basic variables.
XB
Z
I
12
23
A
Z
1
0
B
0
20
320
13
0
0
1
2
-1
8
21
0 1
Y
0
CY
8
The entries a, B, in the tableau are unknown parameters.
(a) Suppose the LP problem was a minimization problem, give the range of
values of the unknown parameters, that would make the optimal cost be
-0.
(b) Suppose the problem was a maximization problem, give the range of values
of the unknown parameters, that would make the current solution to be
optimal. Hence state the optimal solution.
(c) Suppose that it is a maximization problem and that ẞ= -10, a ==
explain why the current solution is feasible but not optimal. Hence proceed
and determine the optimal solution.
Transcribed Image Text:3. While solving a standard form problem, we arrive at the following tableau, with 3 and 2, being the basic variables. XB Z I 12 23 A Z 1 0 B 0 20 320 13 0 0 1 2 -1 8 21 0 1 Y 0 CY 8 The entries a, B, in the tableau are unknown parameters. (a) Suppose the LP problem was a minimization problem, give the range of values of the unknown parameters, that would make the optimal cost be -0. (b) Suppose the problem was a maximization problem, give the range of values of the unknown parameters, that would make the current solution to be optimal. Hence state the optimal solution. (c) Suppose that it is a maximization problem and that ẞ= -10, a == explain why the current solution is feasible but not optimal. Hence proceed and determine the optimal solution.
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