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 40 minutes once a party is seated. The customer arrival rate is 12 parties per hour, with the parties being equally divided between card holders and people without player's cards. What is the average time that player's card holders wait to be seated?

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The average time that player's card holders wait to be seated is approximately 4 minutes. This is because the restaurant has 10 tables or booths where customers may be seated, the service time (time a booth or table is occupied) averages 40 minutes once a party is seated, and the customer arrival rate is 12 parties per hour, with the parties being equally divided between card holders and people without player's cards. So, the average number of parties waiting to be seated is 12 / 2 = 6 parties. The average waiting time is then 6 * 40 / 60 = 4 minutes.

A Restaurant at a Popular Colorado Casino Provides Priority Service