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 optimal $(x,y)$ for the LPP.
Answer & explanation
Correct answer: option 3
The correct answer is Option (4) → $(166,14)$
Find the intersection between,
$x+y=180$ ...(1)
$5x+12y=1000$ ...(2)
$⇒5x+12(180-x)=1000$
$⇒-7x=-1160$
$⇒x=\frac{1160}{7}≃166$
$∴y=14$
and, $Z_{max}=Z(166,14)$