When even a small change in the value of a coefficient in the objective function can change the optimal solution,the coefficient is called:
A)optimal
B)sensitive
C)out of the range
D)within the range
E)None of the above

Question

When even a small change in the value of a coefficient in the objective function can change the optimal solution,the coefficient is called:
A)optimal 
B)sensitive 
C)out of the range 
D)within the range 
E)None of the above

Quizplus · Accepted Answer

A coefficient in the objective function is said to be sensitive if even a small change in its value can lead to a different optimal solution. Therefore, option B is the best answer as it accurately describes the given scenario. Option A (optimal) is incorrect because being optimal means that the current solution cannot be improved further, whereas this question is asking about the sensitivity of the coefficients in the objective function. Options C (out of the range) and D (within the range) do not make sense in the context of this question. Finally, option E (None of the above) is incorrect because option B is a valid answer.

When Even a Small Change in the Value of a Coefficient