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(B) To find the minimum value of the objective function $z=3x-4y$,we evaluate $z$ at each corner point of the feasible region shown in the figure.Corn

Vedclass · Accepted Answer

$(0,8)$

Vedclass · Answer

(B) To find the minimum value of the objective function $z=3x-4y$,we evaluate $z$ at each corner point of the feasible region shown in the figure.Corner Point $(x, y)$Objective Function $z=3x-4y$$(0,0)$$z=3(0)-4(0)=0$$(5,0)$$z=3(5)-4(0)=15$$(6,5)$$z=3(6)-4(5)=18-20=-2$$(6,8)$$z=3(6)-4(8)=18-32=-14$$(4,10)$$z=3(4)-4(10)=12-40=-28$$(0,8)$$z=3(0)-4(8)=0-32=-32$Comparing the values of $z$ at all corner points,the minimum value is $-32$,which occurs at the point $(0,8)$.Therefore,the correct option is $(B)$.

The feasible solution for a $LPP$ is shown in the figure. Let $z=3x-4y$ be the objective function. The minimum value of $z$ occurs at:

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