Chapter 9.2, Problem 11E

(a)

To determine

To check: Whether the statement “In a canonical linear Programming Problem, a non-negative vector $\text{x}$ is a feasible solution if it satisfies $A\text{x}\le \text{b}$” is true or false.

(b)

To determine

To check: Whether the statement “A vector $\overline{\text{x}}$ is an optimal solution of a canonical linear programming problem if $f\left(\overline{\text{x}}\right)$ is equal to the maximum value of the linear functional f on the feasible” is true or false.