The feasible region for a LPP is shown in the following figure. Let $z=3 x-4 y$ be the objective function. Minimum value of Z occurs at
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) - (0, 8)
| corner points | $Z=3x-4y$ |
| $A(0,0)$ | $Z_A=0$ |
| $B(0,8)$ | $Z_B=-32$ |
| $C(4,10)$ | $Z_C=-28$ |
| $D(6,8)$ | $Z_D=-14$ |
| $E(6,3)$ | $Z_E=-2$ |
| $F(5,0)$ | $Z_F=15$ |
Minimum value at (0, 8)