The corner points of a bounded feasible region are $(0, 2)$, $(4, 0)$, $(6, 3)$ and $(2, 6)$. What is the minimum value of $Z = 5x + 2y$?

Explanation

1. 01

   Evaluate $Z$ at each corner: $4$ at $(0, 2)$, $20$ at $(4, 0)$, $36$ at $(6, 3)$, $22$ at $(2, 6)$.

2. 02

   The smallest is 4, at $(0, 2)$.