Use the Graphical Technique to Find the Optimal Solution for This

Essay

Use the graphical technique to find the optimal solution for this objective function and associated constraints.
Maximize: Z = 8A + 5B
Subject To:
Constraint 1 4A + 5B < 80
Constraint 2 7A + 4B < 120
A,B > 0
a.Graph the problem fully in the following space.Label the axes carefully,plot the constraints,shade the feasibility region,identify all candidate corner points,and indicate which one yields the optimal answer.