INTRODUCTION TO OPERATIONS RESEARCH Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method:Basicx1X281€2a2a3Solution203- M0M-3 3-4M 060+ 10M8105/411/440711x10-1002020a31-1110(a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value.(b) Is this tableau optimal? Explain your answer.(c) Suppose that the LP models a maximisation problem.i. Obtain the entering variable. Explain your answer.ii. Obtain the leaving variable. Explain your answer.iii. Based on your answer in (ii), explicitly identify the type of solution for the LP.

Given Information:Tabuleau for particular LPP using big M method is given as…

Answered: Consider the following tableau for a…

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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INTRODUCTION TO OPERATIONS RESEARCH

Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method:
Basic
x1
X2
81
€2
a2
a3
Solution
2
0
3- M
0
M-3 3-4M 0
60+ 10M
81
0
5/4
1
1/4
4
0
7
1
1
x1
0
-1
0
0
20
2
0
a3
1
-1
1
10
(a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value.
(b) Is this tableau optimal? Explain your answer.
(c) Suppose that the LP models a maximisation problem.
i. Obtain the entering variable. Explain your answer.
ii. Obtain the leaving variable. Explain your answer.
iii. Based on your answer in (ii), explicitly identify the type of solution for the LP.

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