Show that the minimum of Z occurs at more than two points. Minimise and Maximise $Z = x + 2y$ subject to $ x + 2y \geq 100, 2x – y \leq 0, 2x + y \leq 200; x, y \geq 0.$

Question

$\begin{array}{1 1}Min = 100, Max = 400 \\ Min = 250, Max = 400 \\ Min = 100, Max = 250 \\ Min = 0, Max = 100 \end{array} $