3) Five activities each take 8, 10, 6, 6, 4 minutes respectively. Operating time per day is 8 hours and daily demands are 48 units. Use heuristics Incremental utilization and Longest activity time to design and balance a production line respectively and assess the performance.

4) Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration desk before going to one of three cashiers to pay a fee for the ID card. After that, he/she will visit one of four ID processing stations to have his/her picture taken and ID card printed. Visits to the cashier and ID processing station take 10 and 20 minutes respectively.

a) Draw the process flow diagram

b) If the demand rate is 0.125 student per minute, how long does it take to process 20 students assuming the system is empty?

c) If the demand rate is 0.125 student per minute, how long does it take to process 20 students assuming the system is full?

d) If the demand rate is 0.5 student per minute, how long does it take to process 20 students assuming the system is empty?

e) If the demand rate is 0.5 student per minute, how long does it take to process 20 students assuming the system is full?

5) Customers send e-mails to a help desk of an online retailer every 2 minutes, on average, the standard deviation of this inter-arrival time of e-mails is also 2 minutes. This online retailer has three employees answering e-mails and it takes on average 4 minutes to write a response e-mail. The standard deviation of this response time is 2 minutes.

a) On average, how long will a customer have to wait before receiving his/her response?

b) How many e-mails would there be, on average, that have been submitted to the online retailer but not yet answered?

6) There is currently a single server at a NUS cafeteria, and the average service time is 1.25 minutes with a standard deviation of 1.25 minutes. Each customer arrives randomly (assume = 1) and spends on average 3 minutes waiting before being served.

a) What fraction of the time is the clerk busy?

b) The manager is considering adding a second server to the cafeteria. One of the HR professors suggests that this new server be dedicated to serving faculty and staff (who make up one-third of the patrons at Mochtar Riady Building). He promises that this will make the students better off, since they (students) will no longer be stuck waiting behind faculty or staff. Should the manager accept the suggestion of this HR professor, or is there a better alternative? (hint: Consider Operation Management professors suggestion)

c) For your recommendation in (b) can you quantify?

*PLEASE ANSWER ALL THE ABOVE QUESTIONS & TYPE YOUR ANSWER (NO SCREENSHOTS OR IMAGES) WITH EXPLANATION AND CALCULATION METHOD. THANK YOU IN ADVANCE.

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