Question1: Consider a metro line which is 10 km long with 5 stops (A,B,C,D and E) and the total journey takes 8 minutes to complete. It takes approximately 2 minutes between two stations, with 30 seconds waiting at the metro stop and 90 seconds traveling between stops. Metro has two types of trains: 4-cars train (carries 300 seated 700 standing passengers) and 8-cars train (carries 500 seated and 1000 standing passengers). Metro has separated lanes for travel from stop A to E and from stop E to Stop

A. Metro corporation has 10 4-cars train and 5 8-cars train. What is the hourly passenger capacity (one way: i.e., A->E or E->A) if Metro managers decided to schedule 4-cars trains every 10 minutes?

Municipality officials think that the daily passengers that will use the metro line is from A-to-E way is 150.000 customers/day. Assume that working hours of metro is between 6:00 am and 24:00 midnight. Do you have enough capacity to satisfy this demand? If yes, provide a train schedule that will handle this load.

Would you change your answer to part (b) if the daily passengers do not homogenously distributed: If the arrival rate of passengers are 20.000 passenger/hour during rush-hours (that is between 6:00-10:00, and 16:00-20:00) and 9000 passenger/hour during the normal metro-working hours (that is between 10:00-16:00, and 20:00-24:00)?