Chapter 9.2, Problem 12E

(a)

To determine

To check: Whether the statement, “If a canonical linear programming problem does not have an optimal solution, then either the objective function is not bounded on the feasible set or the feasible set is empty set” is true or false, and justify the answer.

(b)

To determine

To check: Whether the statement, “If $\overline{\text{x}}$ is an optimal solution of a canonical linear programming problem, then $\overline{\text{x}}$ is an extreme point of the feasible set” is true or false, and justify the answer.