Problem 8 (5 marks) Marilla's Makeshift Manufacturing facility has three departments: shaping, pickling and packaging. Marilla's orders averaged 100 pieces each. Each of these shaping machines required one hour of setup but could run a piece in one minute. The shaping machines can run in parallel. The pickling department lowered baskets of pieces into brine tanks and subjected them to a low-voltage current, a heating and cooling, and a rinse. The whole process took 4 hours for any number of baskets or pieces. The only brine tank at the facility could hold four baskets, each of which could contain 50 pieces. (Baskets were loaded while another load was in the tank.) Each piece was inspected and wrapped in the packing department. Each of the four people in the packing department could do this at the rate of 25 pieces per hour. Marilla had heard of the Theory of Constraints (TOC) and wanted to identify the bottleneck department. Which is it? (Show your calculations and / or reasoning for your answer). Here is the space to show your answer: Page 11 of 17 Problem 7 (5 marks) The Production Manager at Melmoth Machine Company is preparing a production schedule for one of the fabrication shop's machines, the Grizzly Metal Lathe. He has collected the following information on jobs currently waiting to be processed at this machine. (There are no other jobs, the machine is empty, and the shop is operational 7 days per week.). Job Job Due Date Machine Processing Time (Days) 4 1 Date Job Arrived at this Machine 6-23 6-24 8-15 A B D 9-10 7-01 5 2 8-01 8-17 6-19 a. The production manager has heard about three dispatching rules: the shortest operation next rule, the first-come-first-served rule, and the earliest due date rule. In what sequence would these jobs be processed at the Metal Lathe if each rule were applied? Rule Sequence Page 9 of 17 b. If it is now the morning of July 10, and the shortest operation next rule is used, when would each f the four jobs start and be completed on the Metal Lathe? (Express your schedule in terms of the calendar dates involved, assuming that there are seven working days each week.) Use the diagram below, and draw blocks where each job (A, B, C, and D) begins and ends. Label each block. (For example, your answer should look something like this (but not exactly like this): A B D 7-10 7-11 7-12 7-13 7-14 7-15 7-16 7-177-18 7-19 7-20 7-21 7-22 Your answer should go here: 7-107-117-127-137-147-15 7-16 7-177-187-19 7-20 7-21 7-22