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An aeroplane can carry a maximum of 250 passengers. A profit of  1,500 is made on each executive class ticket and a profit of 1,000 is made on each economy class ticket. The airline reserves at least 25 seats for executive class. However  at least 3 times as many passengers prefer to travel by economy class than by executive class. Frame the Linear Programming Problem to determine how many tickets of each type must be sold in order to maximize the profit for the airline.

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Let, Number of executive class tickets be x and economy class tickets be y.

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