7. 35 points: Every student who wishes to enter the public library at Hotel de Ville (HdV) in the center of Paris, needs to go through the following steps:
a) Which step is the bottleneck step?
b) What is the process capacity?
c) When the library opens at 9 a.m., there is usually a very long queue of people waiting to get in. How long does it take for the 25 seats in the library to be occupied (assuming there are at least 25 people in the queue)?
d) Throughout the day, 3 students typically enter the library per minute. How many students, on average, are on the ground floor?
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