. Cranston Cranberry Cooperative (CCC) processes cranberries that are harvested inthe local area. Barrels of cranberries arrive on trucks to CCC’s facility at a rate of150 barrels per hour and are processed continuously at a rate of 100 barrels per hour.Trucks arrive at a uniform rate over eight hours, from 6:00 a.m. until 2:00 p.m. Howlong does the last truck wait before it is processed?

5. The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. d.) Because the state has received less than expected tax receipts, the DMV is thinking of cutting one position. Is this a good idea?  Why?

Pasquist Water Company (PWC) operates a 24-hour facil-ity designed to efficiently fill water-hauling tanker trucks.Trucks arrive randomly to the facility and wait in line to ac-cess a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the timeto fill a truck is also random.a. If the manager of PWC uses the multiple-server modelto calculate the operating characteristics of the facility’swaiting line, list three assumptions she must make regard-ing the behavior of waiting trucks and the truck arrivalprocess.b. Suppose an average of 336 trucks arrive each day, thereare four wellhead pumps, and each pump can serve anaverage of four trucks per hour.▪ What is the probability that exactly 10 trucks will arrivebetween 1:00 p.m. and 2:00 p.m. on any given day?▪ How likely is it that once a truck is in position at a well-head, the filling time will be less than 15 minutes?c. Contrast and comment on the performance differencesbetween:▪…

At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts  as the Formula 1 drivers battled for maximum points in the series.   The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm,  when the gates closed in readiness for the race. The fans were observed to arrive at an average of  2,048 each hour, and were being served at a rate of 533 every fourteen minutes.  Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce  portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this  grace.  Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. required; iv). On average, how long does a fan spend in the circuit ticketing system?  v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system?  Determine the efficiency of the Silverstone circuit…