Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
If a standard minimization linear programming problem has a unique solution, then so does the corresponding maximization problem with objective function , where is the objective function for the minimization problem.

Question

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
If a standard minimization linear programming problem has a unique solution, then so does the corresponding maximization problem with objective function  , where  is the objective function for the minimization problem.

Quizplus · Accepted Answer

To maximize P, one maximizes -C. Since the minimization problem has a unique solution, the negative of that solution is the solution of the maximization problem.

Determine Whether the Statement Is True or False