The corner points of the feasible region for an LPP are (0, 10), (5, 5), (15, 15) and (0, 20). If the objective function is Z=px+qy; p, q >0, then the condition on p and q so that the maximum of Z occurs at (15, 15) and (0, 20) is :
Answer & explanation
Correct answer: option 4
The correct answer is option (4) → $q=3p$
maximum of Z occurs at both (15, 15) and (0, 20)
$⇒Z(15, 15)=Z(0, 20)$
$15p+15q=20q$
so $15p=5q⇒q=3p$