An Airline operates flight between 2 major cities and has two classes of tickets, Economy and Business.
- Each Economy seat costs Rs. 5,000 and has 150 available seats.
- Each Business costs Rs. 12,000 and has 50 available seats.
- Total passenger capacity is 180.
- Airline must cover at least Rs. 10,00,000 in operation cost.
Find the constraint of the given LPP.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → $\begin{matrix}x+y≤180\\5000x+12000y≥10,00,000\end{matrix}$
Total seats per flight = 180
$x+y≤180$
and,
operational cost constraint is,
$5000x+12000y≥10,00,000$
$x,y≥0$ (Non-Negative constraints)