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. Suppose you are given the following linear programming problem: Maximize P = ax + by on the unbounded feasible set S shown in the accompanying figure.
a. If a > 0 or b > 0, then the linear programming problem has no optimal solution.
b. If a ≤ 0 and b ≤ 0, then the linear programming problem has at least one optimal solution.