An aeroplane can carry a maximum of 250 passengers. A profit of ` 1500 is made on each…
Mathematics · Class 12 · CBSE — Linear Programming
An aeroplane can carry a maximum of 250 passengers. A profit of ` 1500 is made on each executive class ticket and a profit of ` 900 is made on each economy class ticket. The airline reserves at least 30 seats of executive class. However, at least 4 times as many passengers perfer to travel by economy class than by executive class. Formulate LPP in order to maximize the profit for the airline.
- Maximize Z = 1500x + 900y
Subject to x + y ≤ 250, x ≤ 30, y ≥ 4x - Maximize Z = 1500x + 900y
Subject to x + y ≤ 250, x ≥ 30, y ≤ 4x - Maximize Z = 1500x + 900y
Subject to x + y ≤ 250, x ≤ 30, y ≤ 4x - Maximize Z = 1500x + 900y
Subject to x + y ≤ 250, x ≥ 30, y ≥ 4x
Answer
(D) Maximize Z = 1500 x + 900 y Subject to x + y ≤ 250, x ≥ 30, y ≥ 4 x
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