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  4. The feasible region for a LPP is shown shaded in the figure. Let Z = 3x - 4y be the objective function. Minimum of Z occurs at <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/0f5cca3895be3ed3d8d830e30c2b5e73-.png />

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Q. The feasible region for a $LPP$ is shown shaded in the figure.
Let $Z = 3x - 4y $ be the objective function. Minimum of $Z$ occurs at
image

Linear Programming

Solution:

Construct the following table of values of the objective function :
image
Minimum of $Z = - 32$ at $(0, 8)$