Minimise Z = x + 2y
subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0 Show that the minimum of Z occurs at more than two points 7 Minimise and Maximise Z = 5x + 10 y
subject to x + 2y  ≤ 120, x + y ≥ 60, x – 2y ≥ 0, x, y ≥ 0