Consider the LPP, Min $Z=2x-3y$ subject to the conditions
$x+y ≤3,$
$x ≤ 3, $
$x ≥ 0, y ≥ 0,$
then the maximum value of the objective functions is at the point.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (3, 0)
$Z=2x-3y$
| Corner points | $Z=2x-3y$ |
| A(0, 0) | $Z_A=0$ |
| B(0, 3) | $Z_B=-9$ |
| C(3, 0) | $Z_C=6$ |
Maximum value at C(3, 0)