The “Steal a Deal” gift shop specializes in heavily discountedmerchandise for the holiday season. The store prices are soappealing that lines of people queue up in the early AM hours infront of the store doors in order to secure a place in theline.
On the morning after Thanksgiving, one of the busiest days ofthe year, the store opened its doors at 8:00AM. At that time therewere 122 customers already waiting in line. From 8:00AM to 10:00AM,new customers arrive at the rate of 5 per minute. After 10:00AM,the rate reduces to 2 per minute. The store admits customers at therate of 4 per minute.
a) Jacob plans to arrive to the store at 9:00AM. How long shouldhe expect to wait?
b) Rachel does not want to wait more than 15 minutes. Whenshould she show up?
