1. A new full-service, attendant-staffed fuel and car service station on Interstate 95 will service only northbound cars. The manager estimates that customers will arrive every 4 minutes and will require 6 minutes to be served at the pump. How many pumps should be installed if the manager desires a utilization factor of 0.75? What percent of the time will the pumps be idle? Assume that the coefficients of variation of both the inter-arrival times and the service times are equal to 1.
2. Jennifer owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their webpage and Crunch bangs out the needed code as quickly as possible. Jennifer has 7 programmers who do all of the coding. On average, a project arrives once every 5.2 hours. Each project is assigned to one programmer and that programmer takes on average 18.2 hours to complete each project. Jennifer wants to know what fraction (as a percentage) of the time is each of her programmers busy coding? (Choose the answer closest to your calculations)
40%
50%
60%
70%
3. The CVS store on Central Ave has two checkout kiosks, each has its own dedicated waiting line of customers. Customers arrive at each kiosk a rate of 20 per hour, and the time to complete a check-out process averages 2 minutes. The CVS Store is pooling the two checkout koisks together so that only one waiting line will be formed. How would this impact on average customer waiting time?
Reduction by more than 50%
Reduction by less than 50%
Reduction by 50%
No reduction