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The Indian Railways is planning to introduce new trains on a specific route. The decision-makers are faced with several constraints regarding the number of trains (T), total passengers (P), and revenue generation (R). The route can support a maximum of 5 trains per day. Each train has a capacity of 200 passengers. The fare per passenger is set at ₹500. However, for each additional train, the average occupancy drops by 10%. The first train always runs at full capacity. Questions: What is the maximum potential revenue if all trains run at full capacity?A) ₹2,50,000B) ₹5,00,000C) ₹10,00,000D) ₹25,00,000 If only three trains run and each train runs at the respective reduced capacity, what is the total revenue generated?A) ₹2,70,000B) ₹3,00,000C) ₹3,30,000D) ₹3,60,000 What is the maximum number of passengers that can be transported if four trains are operating?A) 600B) 720C) 800D) 920 At what point (number of trains) does adding another train not increase total revenue?A) 3 trainsB) 4 trainsC) 5 trainsD) Revenue always increases with more trains Answers 1.Answer: D) ₹25,00,000 Explanation: Maximum capacity is 5 trains × 200 passengers/train = 1000 passengers. At ₹500/passenger, maximum potential revenue is 1000 × 500 = ₹25,00,000. 2. Answer: C) ₹3,30,000 Explanation: 1st train: 100% capacity = 200 passengers. 2nd train: 90% of 200 = 180 passengers. 3rd train: 80% of 200 = 160 passengers. Total passengers = 200 + 180 + 160 = 540. Total revenue = 540 × ₹500 = ₹3,30,000. 3. Answer: B) 720 Explanation: 1st train: 200 passengers. 2nd train: 90% of 200 = 180. 3rd train: 80% of 200 = 160. 4th train: 70% of 200 = 140. Total = 200 + 180 + 160 + 140 = 720 passengers. 4. Answer: B) 4 trains Explanation: With each additional train, occupancy drops by 10%, so by the 4th train, the occupancy is 70% (of 200). Adding a 5th train would reduce occupancy to 60%, not increasing total revenue significantly as the drop in occupancy outweighs the benefit of adding another train. Do join the whatsapp group to stay updated.

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