Optimise $Z=3x+9y$ subject to the constraints:
$x+3y ≤ 60, x + y ≥ 10, x ≤ y, x≥0, y ≥0$, then
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Maximum value of Z occurs at all the points on the line segment joining (15, 15) and (0, 20).
$Z(15,15)=3×15+9×15=180$
$Z(0,20)=9×20=180$
∴ $Z_{max}$ occurs at all the point on the line segment joining $(15,15)$ and $(0,20)$.