PLEA

PLEASE DO PART B ONLY AND CAN YOU SHOW WORK

Batching Consider the following process: 3 1 2 (Jill) 4 (Julie, machine 1) (Jake, machine 2) 3 (Julie) (Jen) The setup time and production time per unit of each task is as follows: Task Setup time (in mins) Time per unit (in mins) 1 0 3 2 40 8 3 0 18 4 0 5 Julie performs tasks 1. She performs task 1 on every unit in a batch. Then, Jake runs a setup on a different machine before performing task 2 on every unit in the batch. After that, either Jill or Jen performs task 3 on the units. Finally, Julie does task 4. Tasks 3 and 4 are done by the workers only so they do not require any setups. (a) Compute process capacity in units/hour if the batch size is 35 units. (b) What batch size would you recommend for a process manager who wants to maximize flow rate but is also concerned about average flow time, when the demand rate is 6 units per hour