If the right-hand side value of a constraint in a two variable linear programming problems is changed,then:
A)the optimal measure of performance may change
B)a parallel shift must be made in the graph of that constraint
C)the optimal values for one or more of the decision variables may change
D)All of the above
E)None of the above

Question

If the right-hand side value of a constraint in a two variable linear programming problems is changed,then:
A)the optimal measure of performance may change 
B)a parallel shift must be made in the graph of that constraint 
C)the optimal values for one or more of the decision variables may change 
D)All of the above 
E)None of the above

Quizplus · Accepted Answer

If the right-hand side value of a constraint in a two-variable linear programming problem is changed, the feasible region and optimal solution may shift. This means that the optimal measure of performance may change (option A). In addition, a parallel shift must be made in the graph of that constraint (option B). As a result, the optimal values for one or more of the decision variables may change (option C). Therefore, the correct answer is D, i.e., all of the above.

If the Right-Hand Side Value of a Constraint in a Two