t 0 5 10

r(t)0 90 0

A shop is open 9 AM - 7 PM. The function r(t), gives the rate at which customers arrive (in people/hour) at time t, where t measures time in hours since 9 AM. Suppose that the salespeople can serve customers at a rate of 75 people per hour. At 4 hrs after opening people begin having to wait in line before getting served, and the line is longest 6 hours after opening. Answer the following questions:

How many people are in the line at the time when it's the longest?
Answer: people.
When does the line vanish?
Answer: hours after opening.

1 answer

Nevermind! Solved it. Sorry guys. :)