Answer :

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).

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