A section of output from The Management Scientist is shown here.

Variable Lower Limit Current Value Upper Limit

1 60 100 120

What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?

Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same

The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same

The same decision variables will be positive, but their values, the objective function value, and the dual prices will change

The problem will need to be resolved to find the new optimal solution and dual price

Variable Lower Limit Current Value Upper Limit

1 60 100 120

What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?

Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same

The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same

The same decision variables will be positive, but their values, the objective function value, and the dual prices will change

The problem will need to be resolved to find the new optimal solution and dual price

## This question was asked on May 10, 2010.

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