Analytics Exercise 21-3 (Algo) Recently. Phil Harris, the production control mensger at Brunswick, read an article on time-phesed requirements planning. He was curious about how this technique might work in scheduling Brunswick's engine assembly operations and decided to prepare an exemple to illustrate the use of time-phased requirements planning Phil's first step was to prepare a master schedule for one of the engine types produced by Brunswick: the Model 1000 engine. This schedule indicates the number of units of the Model 1000 engine to be assembled each week during the last 12 weeks and is shown on the next page. Next, Phil decided to simplify his requirements planning exemple by considering only two of the many components that are needed to complete the assembly of the Model 1000 engine. These two components, the gear box and the input shaft, sre shown in the product structure diagram below. Phil noted that the gear box is assembled by the Subassembly Department and subsequently is sent to the main engine assembly line. The input shaft is one of several component parts manufactured by Brunswick that are needed to produce o gear box subassembly. Thus, levels 0. 1. and 2 ore included in the product structure diagram to indicate the three manufacturing stages that are involved in producing an engine: the Engine Assembly Department, the Subassembly Department, and the Machine Shop The manufacturing lesd times required to produce the gear box and input shaft components are also indicated in the product structure diagram. Note that two weeks are required to produce a batch of gear boxes and that all the gear boxes must be delivered to the assembly line parts stockroom before Monday morning of the week in which they are to be used. Likewise, it takes three weeks to produce a lot of input shafts, and all the shafts that are needed for the production of gear boxes in a given week must be delivered to the Subsssembly Department stockroom before Monday morning of that week. In preparing the MRP example Phil planned to use the worksheets shown and to make the following assumptions: 1. Twenty two gear boxes are on hand at the beginning of Week 1, and eight gear boxes are currently on order to be delivered at the start of Week 2 2 Forty five input shafts are on hand at the start of Week 1, and 25 sre scheduled for delivery at the beginning of Week 2 Model 1000 master schedule Week Demand 18 5 1 10 17 22 109 520 Model 1000 product structure Engine assembly Crankcase Gearbox Lead time 2 weeks Used: 1 per engine Trout shalt Lead time I weeks Used 2 per gearbox a. Initially, assume that Phil wants to minimize his inventory requirements. Assume that each order will be only for what is required for a single period. Calculate the net requirements and planned order releases for the gear boxes and input shafts. Assume that lot sizing is done using lot-for-lot (L4L). (Leave no cells blank - be certain to enter "0" wherever required.) Gear Box Requirements Week 1 2 3 4 5 6 7 8 9 10 11 12 18 5 12 10 0 17 22 10 0 9 5 20 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Input Shaft Requirements 10 11 12 Week Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Phil would like to consider the costs thet his accountants are currently using for inventory carrying and setup for the gear boxes and input shafts. These costs are as follows: PART Gear Box Input Shaft COST Setup - $85/order Inventory carrying cost-$2/unit/weck Setup - $40/order Inventory carrying cost-$2/unit/week Suppose least-total-cost lot sizing is to be used. Using the planned order receipts shown below.complete the remainder of the gear box and input shaft tables. (Leave no cells blank - be certain to enter "0" wherever required.) Gear Box Requirements 5 10 11 12 2 18 12 10 0 17 22 10 0 9 5 20 Week Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Input Shaft Requirements Week 10 11 12 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt 0 0 0 58 0 0 0 88 0 0 0 0 Planned order release c. What are the savings with the new schedule? Assume inventory is valued at the end of each week. Cost of the schedule from port (8) Setup Cost Inventory Total Gear box Input shaft Total cost Cost of the schedule using least-total-cost lot sizing. Setup Cost Inventory Total Gearbox Input shaft Total cost Savings with the new schedule. Savings Analytics Exercise 21-3 (Algo) Recently. Phil Harris, the production control mensger at Brunswick, read an article on time-phesed requirements planning. He was curious about how this technique might work in scheduling Brunswick's engine assembly operations and decided to prepare an exemple to illustrate the use of time-phased requirements planning Phil's first step was to prepare a master schedule for one of the engine types produced by Brunswick: the Model 1000 engine. This schedule indicates the number of units of the Model 1000 engine to be assembled each week during the last 12 weeks and is shown on the next page. Next, Phil decided to simplify his requirements planning exemple by considering only two of the many components that are needed to complete the assembly of the Model 1000 engine. These two components, the gear box and the input shaft, sre shown in the product structure diagram below. Phil noted that the gear box is assembled by the Subassembly Department and subsequently is sent to the main engine assembly line. The input shaft is one of several component parts manufactured by Brunswick that are needed to produce o gear box subassembly. Thus, levels 0. 1. and 2 ore included in the product structure diagram to indicate the three manufacturing stages that are involved in producing an engine: the Engine Assembly Department, the Subassembly Department, and the Machine Shop The manufacturing lesd times required to produce the gear box and input shaft components are also indicated in the product structure diagram. Note that two weeks are required to produce a batch of gear boxes and that all the gear boxes must be delivered to the assembly line parts stockroom before Monday morning of the week in which they are to be used. Likewise, it takes three weeks to produce a lot of input shafts, and all the shafts that are needed for the production of gear boxes in a given week must be delivered to the Subsssembly Department stockroom before Monday morning of that week. In preparing the MRP example Phil planned to use the worksheets shown and to make the following assumptions: 1. Twenty two gear boxes are on hand at the beginning of Week 1, and eight gear boxes are currently on order to be delivered at the start of Week 2 2 Forty five input shafts are on hand at the start of Week 1, and 25 sre scheduled for delivery at the beginning of Week 2 Model 1000 master schedule Week Demand 18 5 1 10 17 22 109 520 Model 1000 product structure Engine assembly Crankcase Gearbox Lead time 2 weeks Used: 1 per engine Trout shalt Lead time I weeks Used 2 per gearbox a. Initially, assume that Phil wants to minimize his inventory requirements. Assume that each order will be only for what is required for a single period. Calculate the net requirements and planned order releases for the gear boxes and input shafts. Assume that lot sizing is done using lot-for-lot (L4L). (Leave no cells blank - be certain to enter "0" wherever required.) Gear Box Requirements Week 1 2 3 4 5 6 7 8 9 10 11 12 18 5 12 10 0 17 22 10 0 9 5 20 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Input Shaft Requirements 10 11 12 Week Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Phil would like to consider the costs thet his accountants are currently using for inventory carrying and setup for the gear boxes and input shafts. These costs are as follows: PART Gear Box Input Shaft COST Setup - $85/order Inventory carrying cost-$2/unit/weck Setup - $40/order Inventory carrying cost-$2/unit/week Suppose least-total-cost lot sizing is to be used. Using the planned order receipts shown below.complete the remainder of the gear box and input shaft tables. (Leave no cells blank - be certain to enter "0" wherever required.) Gear Box Requirements 5 10 11 12 2 18 12 10 0 17 22 10 0 9 5 20 Week Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Input Shaft Requirements Week 10 11 12 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt 0 0 0 58 0 0 0 88 0 0 0 0 Planned order release c. What are the savings with the new schedule? Assume inventory is valued at the end of each week. Cost of the schedule from port (8) Setup Cost Inventory Total Gear box Input shaft Total cost Cost of the schedule using least-total-cost lot sizing. Setup Cost Inventory Total Gearbox Input shaft Total cost Savings with the new schedule. Savings