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 "O" wherever required.) Gear Box Requirements 7 8 Week: Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release 2 3 4 5 6 9 10 11 12 Input Shaft Requirements Week: 2 3 5 6 7 8 9 10 11 12 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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 in the diagram below. Phil decided to simplify his requirements planning example by considering only two of the many components needed to complete the assembly of the Model 1000 engine: the gear box and the input shaft, as 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 a gear box subassembly. Thus, levels 0, 1, and 2 are 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 lead 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 all the gear boxes must be delivered to the assembly line parts stockroom before Monday morning the week they are to be used. Likewise, it takes three weeks to produce a lot of input shafts, and all the shafts needed for the production of gear boxes in a given week must be delivered to the Subassembly 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-five gear boxes are on hand at the beginning of Week 1, and seven gear boxes are currently on order to be delivered at the start of Week 2.

2. Fifty input shafts are on hand at the start of Week 1, and 26 are scheduled for delivery at the beginning of Week 2.

**Diagrams:**

1. **Model 1000 Master Schedule:** 
   - A table lists weeks 1 through 12 and their respective demands: 18, 5, 12, 9, 10, 20, 22, 25, 16, 5, 4, 13.

2. **Model 1000 Product Structure:**
   - **Engine Assembly** has a lead time of 0 weeks.
   - **Gear Box:**
Transcribed Image Text: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 in the diagram below. Phil decided to simplify his requirements planning example by considering only two of the many components needed to complete the assembly of the Model 1000 engine: the gear box and the input shaft, as 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 a gear box subassembly. Thus, levels 0, 1, and 2 are 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 lead 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 all the gear boxes must be delivered to the assembly line parts stockroom before Monday morning the week they are to be used. Likewise, it takes three weeks to produce a lot of input shafts, and all the shafts needed for the production of gear boxes in a given week must be delivered to the Subassembly 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-five gear boxes are on hand at the beginning of Week 1, and seven gear boxes are currently on order to be delivered at the start of Week 2. 2. Fifty input shafts are on hand at the start of Week 1, and 26 are scheduled for delivery at the beginning of Week 2. **Diagrams:** 1. **Model 1000 Master Schedule:** - A table lists weeks 1 through 12 and their respective demands: 18, 5, 12, 9, 10, 20, 22, 25, 16, 5, 4, 13. 2. **Model 1000 Product Structure:** - **Engine Assembly** has a lead time of 0 weeks. - **Gear Box:**
Sure, here is the transcription suitable for an educational website:

---

### Inventory Minimization through Lot-for-Lot Sizing

**Objective:** Minimize inventory requirements by calculating the net requirements and planned order releases for gear boxes and input shafts using lot-for-lot (L4L) sizing. Note: Leave no cells blank - enter "0" where necessary.

#### Gear Box Requirements

| Week                      | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 | 11 | 12 |
|---------------------------|----|----|----|----|----|----|----|----|----|----|----|----|
| Gross requirements        |    |    |    |    |    |    |    |    |    |    |    |    |
| Scheduled receipts        |    |    |    |    |    |    |    |    |    |    |    |    |
| Projected available balance|    |    |    |    |    |    |    |    |    |    |    |    |
| Net requirements          |    |    |    |    |    |    |    |    |    |    |    |    |
| Planned order receipt     |    |    |    |    |    |    |    |    |    |    |    |    |
| Planned order release     |    |    |    |    |    |    |    |    |    |    |    |    |

#### Input Shaft Requirements

| Week                      | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 | 11 | 12 |
|---------------------------|----|----|----|----|----|----|----|----|----|----|----|----|
| Gross requirements        |    |    |    |    |    |    |    |    |    |    |    |    |
| Scheduled receipts        |    |    |    |    |    |    |    |    |    |    |    |    |
| Projected available balance|    |    |    |    |    |    |    |    |    |    |    |
Transcribed Image Text:Sure, here is the transcription suitable for an educational website: --- ### Inventory Minimization through Lot-for-Lot Sizing **Objective:** Minimize inventory requirements by calculating the net requirements and planned order releases for gear boxes and input shafts using lot-for-lot (L4L) sizing. Note: Leave no cells blank - enter "0" where necessary. #### Gear Box Requirements | Week | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |---------------------------|----|----|----|----|----|----|----|----|----|----|----|----| | Gross requirements | | | | | | | | | | | | | | Scheduled receipts | | | | | | | | | | | | | | Projected available balance| | | | | | | | | | | | | | Net requirements | | | | | | | | | | | | | | Planned order receipt | | | | | | | | | | | | | | Planned order release | | | | | | | | | | | | | #### Input Shaft Requirements | Week | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |---------------------------|----|----|----|----|----|----|----|----|----|----|----|----| | Gross requirements | | | | | | | | | | | | | | Scheduled receipts | | | | | | | | | | | | | | Projected available balance| | | | | | | | | | | |
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