An aeroplane can carry a maximum of 250 passengers. A profit of Rs 500

1.	An aeroplane can carry a maximum of 250 passengers. A profit of Rs 500 is made on each first class ticket and a profit of Rs 350 of each economy class ticket. The airline reserves atleast 25 seats for first class. However, atleast 3 times as many passengers prefer to travel by economy class than first class. Form an L.P.P to determine how many tickets of each type must be added in order to maximize profit for the airlines.
Answer» Let the number of first class tickets sold = x Number of economy class tickets sold = y Objective function is maximize profit Z = 500x + 350y Subject to constraints are x ≥ 25 y ≥ 3x x + y ≤ 250 x, y ≥ 0

An aeroplane can carry a maximum of 250 passengers. A profit of Rs 500 is made on each first class ticket and a profit of Rs 350 of each economy class ticket. The airline reserves atleast 25 seats for first class. However, atleast 3 times as many passengers prefer to travel by economy class than first class. Form an L.P.P to determine how many tickets of each type must be added in order to maximize profit for the airlines.

Answer»

Let the number of first class tickets sold = x

Number of economy class tickets sold = y

Objective function is maximize profit Z = 500x + 350y

Subject to constraints are x ≥ 25

y ≥ 3x

x + y ≤ 250

x, y ≥ 0

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