If a change is made in only one of the objective function coefficients:
A)the slope of the objective function line always will change
B)the optimal solution always will change
C)one or more of the decision variables always will change
D)All of the above
E)None of the above

Question

If a change is made in only one of the objective function coefficients:
A)the slope of the objective function line always will change 
B)the optimal solution always will change 
C)one or more of the decision variables always will change 
D)All of the above 
E)None of the above

Quizplus · Accepted Answer

Changing one of the objective function coefficients alters the slope of the objective function line, but it does not necessarily change the optimal solution or the values of the decision variables unless the new slope causes the optimal point to shift to a different vertex of the feasible region.

If a Change Is Made in Only One of the Objective