F = 4x + 6y

Corner points - (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).

Value of F at corner points –

At (0, 2), F = 12

At (3, 0), F = 12

At (6, 0), F = 24

At (6, 8), F = 72

At (0, 5), F = 30

Feasible region –

Considering, feasible region to be bounded so it is a closed polygon.

Minimum value of F = 12

Maximum value of F = 72

So, Maximum of F – Minimum of F = 60.