For Z = 3x + 4y, subject to the constraints x + y ≤ 5, x ≥ 0, y ≥ 0, the shaded region shown in the figure as OAB is bounded and the coordinates of the corner points O, A, B are (0, 0), (5, 0) and (0, 5) respectively. The maximum value of Z is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 20
| Corner point | $Z=3x+4y$ |
| $O(0,0)$ | $Z_O=0$ |
| $B(0,5)$ | $Z_B=20→Z_{max}$ |
| $A(5,0)$ | $Z_A=15$ |