A restaurant at a popular Colorado casino provides priority service to player's card holders. The restaurant has 10 tables or booths where customers may be seated. The service time (time a booth or table is occupied)averages 42 minutes once a party is seated. The customer arrival rate is 8 parties per hour, with the parties being equally divided between card holders and people without player's cards. On average, how many parties without player's cards are waiting to be seated?

Question

Quizplus · Accepted Answer

The average number of parties waiting to be seated is equal to the arrival rate multiplied by the average service time. In this case, the arrival rate is 8 parties per hour, and the average service time is 42 minutes, or 0.7 hours. Therefore, the average number of parties waiting to be seated is 8 * 0.7 = 5.6 parties. Since the customer arrival rate is equally divided between card holders and people without player's cards, on average, 5.6/2 = 2.8 parties without player's cards are waiting to be seated.

A Restaurant at a Popular Colorado Casino Provides Priority Service