CUET Preparation Today
CUET
-- Mathematics - Section A
Linear Programming
Consider the following LPP:Maximise $Z=9x+3y$Subject to the constraints: $x + 3y ≤ 60, x-y ≤ 0, x ≥0, y ≥0$If $x=A, y=B$ is the optimum solution of the given LPP, then the value of $A + B$ is:
15
30
48
61
The correct answer is Option (2) → 30
$Z_{max}=Z(15,15)=9×15+3×15$
$=180$
$A+B=15+15=30$