Question

An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 400 is made on each first class ticket and a profit of Rs. 300 is made on each second class ticket. The airline reserves at least 20 seats for first class. However, at least four times as many passengers prefer to travel by second class then by first class. Determine how many tickets of each type must be sold to maximise profit for the airline. Form an LPP and solve it graphically.

Answer 1

Let there be x tickets of first class and y tickets of second class. Then the problem is to

The shaded region in the graph represents the feasible region which is proved.
Le us evaluate the value of z at each corner point

40 tickets of first class and 160 tickets of second class should be sold to earn maximum profit of Rs. 64,000.