Find the maximum

The feasible region determined by X + 3y _≥ 6, x - 3y _≤ 3, 3x + 4y _≤ 24,

- 3x + 2y _≤ 6, 5x + y _≥ 5, x _≥ 0 and y _≥ 0 is given by

_{The corner points of the feasible region are A(4/3,5) , B(4/13,45/13), C(9/14,25/14) , D(9/2,1/2) , E(84/13,15/13).The value of Z at corner points are}

_{The maximum and minimum value of Z is 183/13 and 43/14 at points E(84/13,15/13) and C(9/14,25/14).}