Question: Follow the instruction below to find the maximum value of

z = 5x – 2y

subject to the constraints

x + y ≥ 2

2x + 3y ≤ 12

3x + 2y ≤ 12

x ≥ 0, y ≥ 0

a) Graph the feasible region.

b) Find the corners of the feasible region.

c) Find the maximum of the function z.