In a problem with 4 decision variables,the 100% rule indicates that each objective coefficient can be safely increase by what amount without invalidating the current optimal solution?
A)25%
B)25% of the allowable increase of that coefficient
C)100%
D)25% of the range of optimality
E)It can't be determined from the information given

Question

In a problem with 4 decision variables,the 100% rule indicates that each objective coefficient can be safely increase by what amount without invalidating the current optimal solution?
A)25% 
B)25% of the allowable increase of that coefficient 
C)100% 
D)25% of the range of optimality 
E)It can't be determined from the information given

Quizplus · Accepted Answer

The 100% rule states that each objective coefficient can be increased by up to 100% of its allowable increase, but when multiple coefficients are changed, the sum of the percentage changes relative to their allowable increases should not exceed 100%. Therefore, for four variables, each can be increased by 25% of its allowable increase without exceeding the 100% rule.

In a Problem with 4 Decision Variables,the 100% Rule Indicates