Given question 3, please answer question 4.

purstion 13 Consider the following betch flow process consicting of three process steps pefformed by three mactines. a. Assume that the batch size is 10 parts. What is the capucty of the process? Step 1: Processing Time =2 minutes per une Setup Time =20 minutes step2. Total Time for 10 Parts =(10226%20=40 minutes Processing Time =3 minutes per unit Setup Time =0 minutes Tocal Time for 10 Parts =(20350=30 mintes sec3: Processing Time =1.5 minutes per unit Setup Time =0 minutes Total Time for 10 Parts =(1021.5)=0 = 15 minutes Botbleneck = Step 1=40 minutes =0.25 parts per minute FNAL ANSWERE The capacity of the process is o.25 parts per minute. b. For a batch size of 50 parts, which step is the boetienedk for the process? Step 1: Toal Time for 50 Parts =1500220,20=120 minutes Step 2: Total Time for 30 parts =[50360=130 minutes Step 3: Total Time for 50 Parts =[5015100=75 mintes Botleneck =5 tep 2 = 150 minutes FNAL ANSWER The bottlenedk for a batch she of so pars is step 2. c. What is the ideal batch size (le one that minimbes inventory without affecting process capacity? Step 1: Processing Time =2 minutes per unt Setup Tire =20 minutes step2: Processing fime =3 minutes per unit Setup Time =0 minutes Step 3 : Processing Time -1.5 minutes per unt Setup Time =0 minutes Setup time in Step 1 is sigvificart compored to the processing time, so aim to reduce this. Highest capacity achievable =20 2x+20 - time taken to make a batch Time per unit =(2x+20)/x Capacihy per hour n=60v/(22+20)=60v/(2x20 Plug in 20,40x+400=60x x=20 FNAL ANSWERT The ideal batch size is 20. Quention=4 Consider the same banch flow process as above but now step 3 aho haw a setup time. What is the ideal batch size fie. one that minimizes invertory without illecting process capscity