At the Millbrook High School cafeteria, students proceed along a series of stations in asingle line: (1) get tray and utensils, (2) choose food, (3) select beverage, (4) pay. Theschool is concerned that students are taking too long to get their meal. The school hasanalyzed the capacities of each of the four steps in isolation and found there exists sufficient capacity at each resource in isolation. Which of the following is most likely to becausing the congestion?a. The bottleneck is probably at the last station because capacity is reduced the mostwhen the bottleneck is at the end of the process.b. The implied utilization of the bottleneck is too low.c. Due to variability in processing times, both blocking and starving could be occurring.d. The process must be demand-constrained.e. The stations have similar utilizations.

Ee 264.

The Pullman Mfg., Inc. three-station work cell illustrated in the figure below has two machines at station 1 in parallel. (The product needs to go through only one of the two machines before proceeding to station 2.) Station 1 Machine A Capacity: 3 Units/hr Station 2 Station 3 Capacity: 6 Units/hr Capacity 5 Units/hr Station 1 Machine B Capacity: 3 Units/hr The manager, Mr. Heisler, has asked you to evaluate the system if she adds a parallel machine at station 2. What is the bottleneck time of the new work cell? (enter your response as a whole number). 12 minutes 6 minutes 10 minutes 20 minutes

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.1 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $18 per hour and the customer waiting time is valued at $26 per hour for waiting time prior to service, should Agan expand to the two-consultant system? - No   What is the total cost for each scenario? Round your answers to the nearest cent. The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $____________. The total cost for the second scenario where there are two consultants with an average service time of 10…

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Alpha Taxi and Hauling also plans to have cabs at a new rail station. The expected arrivalrate is 4.8 customers per hour, and the service rate (including return time to the rail station)is expected to be 1.5 per hour. How many cabs will be needed to achieve an average time inline of 20 minutes or less?

Lou operates a cab service specifically tailored to provide safe and comfortable transportation for seniors in his town. He owns five cabs, each staffed by a dedicated driver. Upon receiving a service call, Lou promptly dispatches one of these drivers to pick up the customer. The operational details are as follows: • Each driver takes an average of 15 minutes to arrive at the customer's location after being dispatched. • The journey from the customer's pickup location to their destination averages 25 minutes. • Lou’s service receives an average of 2.5 calls per hour. For analytical purposes, you can assume that both the arrival of service calls (demand) and the service times have coefficients of variation (CV) equal to 1. (a) What is the average waiting time for a customer from the moment they place a service call to Lou until a cab arrives to pick them up? (For answering this question carefully think about different stages of processes, and what a customer is doing in each stage. It…

A grocery store has three open checkout counters. There is a single queue leading up to these three counters. On average, 45 shoppers arrive at this queue. The coefficient of variation of the interarrival time is equal to 1. The average service capacity of each of the three servers is 18 customers per hour, and the coefficient of variation of service time distribution for each server is 3.  (a) (3 points) What is the percentage decrease in capacity utilization when one more checkout lane is added to the system?  (b) (7 points) On average, how many customers are waiting in the queue?

A retail catalog operation employs a bank of six telephone operators who process orders using computer terminals. When a terminal breaks down, it must be disconnected and taken to a nearby electronic repair shop, where it is repaired. The mean time between terminal breakdowns is six working days, and the mean time required to repair a terminal is two working days (both exponentially distributed). As a result of lost sales, it costs the mail-order operation an estimated $50 per day in lost profits each day a terminal is out for repair. The company pays the electronics repair shop $3000 per year on a service agreement to repair the terminals. The company is considering the possibility of signing a new service agreement with another electronics repair shop that will provide subsitutute terminals while the broken ones are at the repair shop. However, the new service agreement would cost the mail-order operation $15,000 per year. Assuming that there are 250 working days in a year, determine…

The State U doctoral program in business admits anaverage of 25 doctoral students each year. If a doctoralstudent spends an average of 4 years in residence at StateU, how many doctoral students would one expect to findthere?