Consider a LPP with objective function \( Z=px+qy \) subjected to certain constraints with a bounded feasible region such that maximum \( Z=80 \) and minimum \( Z=52 \), which occur at the corner points (0, 8) and (2, 4) respectively, then the value of \( p+q \) is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 16
The maximum Z = 80 occurs at (0, 8):
\( p(0)+q(8)=80 \)
\( q=10 \)
The minimum Z = 52 occurs at (2, 4):
\( 2p+4q=52 \)
\( 2p+40=52 \)
\( p=6 \)
\( p+q=6+10=16 \)