6.  One unit of A is made of one unit of B and one unit of C. B is made of four units of C and one unit each of E and F. C is made of two units of D and one unit of E. E is made of three units of F. Item C has a lead time of one week; Items A, B, E, and F have two-week lead times; and Item D has a lead time of three weeks. Lot-for-lot (L4L) lot sizing is used for Items A, D, and E; lots of size 50, 100, and 50 are used for Items B, C, and F, respectively. Items A, C, D, and E have on-hand (beginning) inventories of 20, 50, 100, and 10, respectively; all other items have zero beginning inventory. We are scheduled to receive 10 units of A in Week 1, 100 units of C in Week 1, and 100 units of D in Week 3; there are no other scheduled receipts. If 50 units of A are required in week 10, use the low-level-coded bill-of-materials (product structure tree) to find the necessary planned-order releases for all components. (Leave the cells blank, whenever zero (0) is required.)

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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6. 

One unit of A is made of one unit of B and one unit of C. B is made of four units of C and one unit each of E and F. C is made of two units of D and one unit of E. E is made of three units of F. Item C has a lead time of one week; Items A, B, E, and F have two-week lead times; and Item D has a lead time of three weeks. Lot-for-lot (L4L) lot sizing is used for Items A, D, and E; lots of size 50, 100, and 50 are used for Items B, C, and F, respectively. Items A, C, D, and E have on-hand (beginning) inventories of 20, 50, 100, and 10, respectively; all other items have zero beginning inventory. We are scheduled to receive 10 units of A in Week 1, 100 units of C in Week 1, and 100 units of D in Week 3; there are no other scheduled receipts.


If 50 units of A are required in week 10, use the low-level-coded bill-of-materials (product structure tree) to find the necessary planned-order releases for all components. (Leave the cells blank, whenever zero (0) is required.)

## Material Requirements Planning (MRP) Table

This table represents a Material Requirements Planning (MRP) schedule over a 10-period time frame. It includes essential data for items labeled A through F. Each item has specific parameters: on-hand inventory, lead time, safety stock, and order quantity.

### Columns:
- **Period:** Marks time periods from 1 to 10.
- **Rows for Each Item:**
  - **Gross Requirements:** Demand during each period.
  - **Scheduled Receipts:** Expected delivery of orders in each period.
  - **Projected Available Balance:** Forecasted inventory after accounting for gross requirements and scheduled receipts.
  - **Net Requirements:** Calculated shortage based on projected available balance.
  - **Planned Order Receipts:** Orders to be received in future periods, fulfilling net requirements.
  - **Planned Order Releases:** Planned initiation of orders considering lead time and order receipt schedule.

### Item Details:
- **Item A**
  - On-Hand Inventory (OHt): 20
  - Lead Time (LT): 2
  - Safety Stock (SS): 1
  - Order Quantity (Q): L4L (Lot-for-Lot)
  
- **Item B**
  - On-Hand Inventory (OHt): 0
  - Lead Time (LT): 2
  - Safety Stock (SS): 0
  - Order Quantity (Q): 50

- **Item C**
  - On-Hand Inventory (OHt): 50
  - Lead Time (LT): 1
  - Safety Stock (SS): 0
  - Order Quantity (Q): 100

- **Item D**
  - On-Hand Inventory (OHt): 100
  - Lead Time (LT): 3
  - Safety Stock (SS): 0
  - Order Quantity (Q): L4L

- **Item E**
  - On-Hand Inventory (OHt): 10
  - Lead Time (LT): 2
  - Safety Stock (SS): 0
  - Order Quantity (Q): 20

- **Item F**
  - On-Hand Inventory (OHt): 0
  - Lead Time (LT): 2
  - Safety Stock (SS): 0
  - Order Quantity (Q): 50

### Explanation:
This table is designed to help in planning production and inventory by ensuring that the supply
Transcribed Image Text:## Material Requirements Planning (MRP) Table This table represents a Material Requirements Planning (MRP) schedule over a 10-period time frame. It includes essential data for items labeled A through F. Each item has specific parameters: on-hand inventory, lead time, safety stock, and order quantity. ### Columns: - **Period:** Marks time periods from 1 to 10. - **Rows for Each Item:** - **Gross Requirements:** Demand during each period. - **Scheduled Receipts:** Expected delivery of orders in each period. - **Projected Available Balance:** Forecasted inventory after accounting for gross requirements and scheduled receipts. - **Net Requirements:** Calculated shortage based on projected available balance. - **Planned Order Receipts:** Orders to be received in future periods, fulfilling net requirements. - **Planned Order Releases:** Planned initiation of orders considering lead time and order receipt schedule. ### Item Details: - **Item A** - On-Hand Inventory (OHt): 20 - Lead Time (LT): 2 - Safety Stock (SS): 1 - Order Quantity (Q): L4L (Lot-for-Lot) - **Item B** - On-Hand Inventory (OHt): 0 - Lead Time (LT): 2 - Safety Stock (SS): 0 - Order Quantity (Q): 50 - **Item C** - On-Hand Inventory (OHt): 50 - Lead Time (LT): 1 - Safety Stock (SS): 0 - Order Quantity (Q): 100 - **Item D** - On-Hand Inventory (OHt): 100 - Lead Time (LT): 3 - Safety Stock (SS): 0 - Order Quantity (Q): L4L - **Item E** - On-Hand Inventory (OHt): 10 - Lead Time (LT): 2 - Safety Stock (SS): 0 - Order Quantity (Q): 20 - **Item F** - On-Hand Inventory (OHt): 0 - Lead Time (LT): 2 - Safety Stock (SS): 0 - Order Quantity (Q): 50 ### Explanation: This table is designed to help in planning production and inventory by ensuring that the supply
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