Question
The feasible solution for a LPP is shown in given figure. Let Z = 3x-4y be the objective function.
Find the minimum value of Z.
Image

Answer

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

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free