Question

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)
(c)(5,0)
(d)(4,10)

Answer 1

$\begin{array}{cc}\text{Corner points}& \text{Corresponding vlaue of Z=3x-4y}\\ (0,0)& 0\\ (5,0)& 15\leftarrow Maximum\\ (6,5)& -2\\ (6,8)& -14\\ (4,10)& -28\\ (0,8)& -32\leftarrow Minimum\end{array}$
Hence, the minimum of Z occurs at (0,8) and its minimum value is (-32).