The function is r(t)= 400texp(-0.2t^2) and it shows the rate at which people show up in a line outside a theatre to buy tickets. t is the number of hours after 8:00am

Question

Assume there is no people at 8:00am and the patrons are served at a constant rate of 200 people after the ticket window open at 9:am.

- Find the time at which the number of people of people in line is greatest.
-How many people eventually show up to buy the ticket.
-Find the time at which the queen completely disappears. (This is tricky, but interesting....)

Answer 1

Response to last quest, there is a typo. It should be the line instead of the queen