MHT CET 2026 Mathematics question
Not in JEE syllabus
An airplane can carry a maximum of 250 passengers. A profit of Rs 1500 is made on each executive class ticket and a profit of Rs 900 is made on each economy class ticket. The airline reserves at least 30 seats for executive class. However at least 4 times as many passengers prefer to travel by economy class than by executive class. Let be the number of passengers of executive class and be the number of passengers of economy class. Formulate the LPP in order to maximize the profit for the airline...
Solution
Build the model from the statement. Objective: the profit is and the airline wants it as large as possible, so it is a maximisation. Capacity: total passengers cannot exceed 250, so . "At least 30 seats reserved for executive class" gives . "At least 4 times as many
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