The maximum number of passengers an aeroplane can carry is 300. A profit of ₹1200 is made on each executive class ticket and a profit of ₹800 is made on each economy class ticket. The airline reserves atleast 40 seats for executive class. However, atleast 5 times as many passengers prefer to travel by economy class than by executive class. The maximum profit of the airline is :

₹2,60,000

The correct answer is Option (3) → ₹2,60,000

$x+y≤300$

$x≥40$

$y≥5x$

Profit, $P=1200x+800y$

Since $y≥5x$, substituting $y=5x$ in $x+y≤300$

$x+y≤300$

$6x≤300$

$x≤50$

Since $x≥40$,

$40≤x≤50$

Corresponding values of y,

$x=50,y=5(50)=250$

$x=40,y=5(40)=200$

$P(x=50,y=250)=1200(50)+300(250)$

$=₹2,60,000$