The feasible region for an LPP is shown in the following figure. Let F=3x-4y be the objective function. Maximum value of F is

(a)0
(b)8
(c)12
(d)-18

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Solution

The feasible region as shown in the figure, has objective function F =3x-4y.
$\begin{matrix} Corner points & Corresponding value of F=3x-4y (0, 0) & 0 (12, 6) & 12 \leftarrow M a x i m u m (0, 4) & - 16 \leftarrow M i n i m u m \end{matrix}$
Hence, the maximum value of F is 12.

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3 x - 4 y

The feasible solution for a LPP is shown in following figure. Let Z=3x-4y be the objective funciton. Minimum of Z occurs at

(a)(0,0)
(b)(0,8)
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