The feasible region for an LPP is shown below. Let $Z=3x-4y$ be the objective functions. Maximum of Z occurs at :
Answer & explanation
Correct answer: option 4
The correct answer is option (4) → (4, 0)
| Points | Value of $Z=3x-4y$ |
| $A(0,6)$ | $Z_A=-24$ |
| $B(4,8)$ | $Z_B=-20$ |
| $C(5,6)$ | $Z_C=-9$ |
| $D(5,4)$ | $Z_D=-1$ |
| $E(4,0)$ | $Z_E=12$ |
$Z_E=12 → Z_{max}$
$E(4,0)$ → point of maxima