Problem 2: 5. The Holix Corporation has two separate processing centers for credit applications. Each credit application passes through three steps: step 1background credit check, step 2 credit risk profile analysis, and step 3credit level approval and communication to client. The processing time for each of the stages is 20 minutes for credit check, 50 minutes for credit risk profile analysis, and 14 minutes for credit approval and communication. The set-up time between successive applications for each step is 10 minutes. While both processing center take similar steps, they each deal with different types of applications: processing center 1 evaluates residential customers and processing center 2 evaluates com- mercial customers. 5a. Each of the two processing centers is organized in exactly the same manner and receives the same average number of applications per day. For example, processing center 1 gets about 30 applications per 8-hour day. The first step in center 1 has 2 employees working in parallel. The second step has 4 employees working in parallel, and the third step has 2 employees working in parallel. What is the average lead time to process an application through all three steps in each processing center? 5b. Holix is considering merging these two operations into one system. The new system faces a total arrival rate of 60 applications per 8-hour day. The first step would now have 4 employees operating in parallel, the second would have 8, and the third would have 4. Processing time per step per employee would remain the same. However, the set-up time is anticipated to increase to 11.5 minutes. What is the average lead time to process an application through all three steps in this merged processing center? Why does this merger of processing centers generate the lead time observed? 5c. A consultant suggests that the new center should be split into four separate teams, each team consisting of four employees. The teams would work on one application at a time and complete all steps. Each team would thus operate as a single-server queue with a processing time of 25% of the total processing time for all three steps, i.e., each of the four team members would do 25% of the processing. Since the team does all steps for an application, set-up time is expected to decrease to 5 minutes. Because some applications are very similar, they can be split into four types. Each of the four teams would expect to get 15 applications per 8-hour day. What is the impact of this method of organization on lead time? Explain the result. 5d. Summarize conditions under which each of the three modes of operation would be the appropriate choice