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Xb N X1 X2 X3 X4 b Z 1 0 U 0 20 320 X1 0 0 1 2 -1 8 X3 0 1 M 0 G 8 With X3 and X1 being the basic variables in the above tableau and The entries M, U,G 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 negative infinite (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 U= -10, U-G= 0.5,explain why the current solution is feasible but not optimal. Hence proceed and determine the optimal solution.

Xb N X1 X2 X3 X4 b Z 1 0 U 0 20 320 X1 0 0 1 2 -1 8 X3 0 1 M 0 G 8 With X3 and X1 being the basic variables in the above tableau and The entries M, U,G 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 negative infinite (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 U= -10, U-G= 0.5,explain why the current solution is feasible but not optimal. Hence proceed and determine the optimal solution.

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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Xb N X1 X2 X3 X4 b Z 1 0 U 0 20 320 X1 0 0 1 2 -1 8 X3 0 1 M 0 G 8 With X3 and X1 being the basic variables in the above tableau and The entries M, U,G 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 negative infinite (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 U= -10, U-G= 0.5,explain why the current solution is feasible but not optimal. Hence proceed and determine the optimal solution.
Transcribed Image Text:Xb N X1 X2 X3 X4 b Z 1 0 U 0 20 320 X1 0 0 1 2 -1 8 X3 0 1 M 0 G 8 With X3 and X1 being the basic variables in the above tableau and The entries M, U,G 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 negative infinite (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 U= -10, U-G= 0.5,explain why the current solution is feasible but not optimal. Hence proceed and determine the optimal solution.
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