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 :
Answer & explanation
Correct answer: option 3
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,
$x=50,y=5(50)=250$
$x=40,y=5(40)=200$
$P(x=50,y=250)=1200(50)+300(250)$
$=₹2,60,000$