The point at which the maximum value of x+ y, subject to constraints $x+2y ≤ 70, 2x+y ≤ 95, x ≥ 0, y ≥ 0$ is obtained, is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (40, 15)
Plotting constraints
$x≥0,y≥0$
⇒ first quadrant
$Z=x+y$
| points | Z |
| (0, 35) | 35 |
| (47.5, 0) | 47.5 |
| (40, 15) | 55 |
maximum value at (40, 15)