Even though the problem statement is evident for those who are familiar with the subject, you should still post the complete question so that anyone attempting to help you can decide quickly he/she will take it up.
If you make a traditional graph of the x-y plot including the constraints, you will find that the area of the feasible region is a trapezoid having vertices at (1,2), (5,2), (5,7) and (1,3).
By evaluating the values of Z at the integral grid points, the maximum value of z (objective function) is found at (5,2) with z=11.
If you need a solution by the simplex method, try to set up the initial equations, and post as far as you can go.
Objective Function
z = 3x - 2y
Constraints x > or equal to 1
x < or equal to 5
y > or equal to 2
x - y > or equal to -2
1 answer