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. 600 is made on each economy class ticket. The airline reserves at least 20 seats for first class. However, at least 4 times as many passengers prefer to travel by economy class than by the first class.Formulate the linear programming problem to maximize the profit of the airline.

Answer 1

let first class ticket = x

Economy class ticket = y

Maximum passengers = 200

x + y ≤ 200

Z = 400x + 600y

x + y ≤ 200 …(1)

x ≥ 20 …(2)

y ≥ 4x …(3)

Feasible region is bounded then angular point will be.