The tableau is not optimal for either maximization or a minimization problem. Thus, when a nonbasic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering nonbasic variable. Basic Z 0 -5 0 4 -1 -10 0 0 598 0 3 0 -2 -3 -1 5 1 12 0 1 1 3 1 0 3 0 6 1 -1 0 0 6 -4 0 0 0 Categorize the variables as basic and nonbasic and provide the current values of all the variables. AP [8] Assuming that the problem is of the maximization type, identify the nonbasic variables that have the potential to improve the value of If each such variable enters the basic solution, determine the associated leaving variable, if any, and the associated change in Z. AN [11] (c)Repeat part (b) assuming that the problem is of the minimization type. AN [4] (d)Which nonbasic variable(s) will not cause a change in the value of Z when selected to enter the solution?
The tableau is not optimal for either maximization or a minimization problem. Thus, when a nonbasic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering nonbasic variable.
Basic
Z 0 -5 0 4 -1 -10 0 0 598
0 3 0 -2 -3 -1 5 1 12
0 1 1 3 1 0 3 0 6
1 -1 0 0 6 -4 0 0 0
- Categorize the variables as basic and nonbasic and provide the
current values of all the variables. AP [8]
- Assuming that the problem is of the maximization type, identify the nonbasic variables that have the potential to improve the value of If each such variable enters the basic solution, determine the associated leaving variable, if any, and the associated change in Z. AN [11]
(c)Repeat part (b) assuming that the problem is of the minimization
type. AN [4]
(d)Which nonbasic variable(s) will not cause a change in the value of
Z when selected to enter the solution?
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