The feasible region for a $LPP$ is shown in the figure. Find the maximum value of $Z=11x+7y$.
(47) The feasible region is bounded by the corner points $C(0,3)$,$A(3,2)$,and $B(0,5)$.
We evaluate the objective function $Z=11x+7y$ at each corner point:
Comparing the values of $Z$ at these points,the maximum value is $47$,which occurs at the point $A(3, 2)$.
We evaluate the objective function $Z=11x+7y$ at each corner point:
| Corner Point $(x, y)$ | Value of $Z = 11x + 7y$ |
| $C(0, 3)$ | $11(0) + 7(3) = 21$ |
| $A(3, 2)$ | $11(3) + 7(2) = 33 + 14 = 47$ |
| $B(0, 5)$ | $11(0) + 7(5) = 35$ |
Comparing the values of $Z$ at these points,the maximum value is $47$,which occurs at the point $A(3, 2)$.
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