Section B: Free-Form Problems 1. Process & Capacity Analysis (20p) Consider the process flow chart given below where a unit resource is allocated at each task stages. All arriving jobs (1) undergo task Al. The job after Al is separated into two parts la, Ib. The task 12 is performed on la and A3 on Ib. After A2 and A3, la and lb are joined and goes through task A4 which can be performed by either of two resources, one performs at 15 mins and the other at 12 mins per job. After A4, the job goes through the final task A5 for 10 mins. -- A4 15 mins Al- AS 10 mins Per hour 10 A46 12 mins 5 a) Analyze the process flow chart carefully and determine the task which is bottleneck (5pt) b) What is the process capacity (Ipt) c) What is the cycle time for the process? (pt) d) What is the theoretical flow time, actual flow time and flow time efficiency? (2pt+3pt+1pc) e) What is the utilization of the process if the input arrival rate is ( 3 jobs per hour (ii) 9 jobs per hour? (2pt) ) You have decided to add an additional resource at the task which is currently a bottleneck. After implementing such a policy, this bottleneck task has become the fastest compared to any other resource in the process. How much time do you think this additional resource is taking to complete the task? (5pt) a) The task that is the bottleneck is A5, it can only Produce a capacity of 6 in an hour b) The Process capacity is the capacity of the bottleneck which is 6 c) Cycle time = 1/ Capcity 10 minutes 1 for d) theoretical flow time