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Consider the following questions regarding the Solver Answer and Sensitivity Rep

ID: 3258665 • Letter: C

Question

Consider the following questions regarding the Solver Answer and Sensitivity Report and answer below WHETHER THE CORRECT RESPONSE IS "BINDING", "NON-BINDING", OR "SLACK":

1.) If a constraint has Slack of zero, then the constraint called   

2.) If the LHS minus RHS has a value other than 0, this difference is called

3.) If LP Sensitivity Report provides a Shadow Price that is zero, it applies to what type of constraint

ANSWER IF THE FOLLOWING QUESTION IS TRUE OR FALSE:

4.) If the Allowable Increase in a decision variable coefficient is increased, but NOT exceeded, then the optimal values of the decision variables will NOT change. TRUE OR FALSE?

Explanation / Answer

1.) If a constraint has Slack of zero, then the constraint called BINDING

The constrained is binding when at optimal solution the constraint has equal LHS and RHS values.

2.) If the LHS minus RHS has a value other than 0, this difference is called SLACK

3.) If LP Sensitivity Report provides a Shadow Price that is zero, it applies to what type of constraint NON-BINDING

The shadow price for a non-binding constraint is zero.

4.) If the Allowable Increase in a decision variable coefficient is increased, but NOT exceeded, then the optimal values of the decision variables will NOT change. True

The statement given above is the basic definition of allowable increase in case of linear programming.