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81 I1 a3 0 1 0 1 2 1 0 0 -1 1 -½¼/4 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. 7 20 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. (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.

81 I1 a3 0 1 0 1 2 1 0 0 -1 1 -½¼/4 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. 7 20 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. (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.

Advanced Engineering Mathematics
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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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.
Transcribed Image Text: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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