Develop a lot-for-lot solution and calculate total relevant costs for the gross requirements in the following table*. Period 1 Gross requirements 30 Period Gross requirements Scheduled receipt Projected On-hand *Holding cost = $3.50/unit/week; setup cost = $150; lead time = 1 week; beginning inventory = 40. Develop a lot-for-lot solution (enter your responses as whole numbers). Net Requirements Planned Order receipt Planned Order release The total cost is $ 2 3 30 40 4 5 6 789 10 11 12 30 60 30 20 70 60 1 30 2 3 4 5 6 7 30 30 60 30 (enter your response as a whole number). 8 9 20 70 10 11 12 60

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Develop a​ lot-for-lot solution and calculate total relevant costs for the gross requirements in the following​ table*.
                                                                                                                                        
Period
1
2
3
4
5
6
7
8
9
10
11
12
Gross requirements
30
 
30
 
30
60
30
 
20
70
 
60
 
​*Holding
cost=​$3.50​/unit/week;
setup
cost=​$150​;
lead
time=1
​week; beginning
inventory=40.
 
Develop a​ lot-for-lot solution
​(enter
your responses as whole
numbers​).
 
Period
 
1
2
3
4
5
6
7
8
9
10
11
12
Gross requirements
 
30
 
30
 
30
60
30
 
20
70
 
60
Scheduled receipt
 
 
 
 
 
 
 
 
 
 
 
 
 
Projected​ On-hand
40
enter your response here
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enter your response here
Net Requirements
 
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
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enter your response here
enter your response here
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Planned Order receipt
 
 
enter your response here
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enter your response here
enter your response here
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enter your response here
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Planned Order release
 
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
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enter your response here
 
 
The total cost is
​$enter your response here
​(enter
your response as a whole
number​).

 

### Lot-for-Lot Solution Calculation

In this exercise, we will develop a lot-for-lot solution and calculate the total relevant costs for the given gross requirements over a 12-period horizon. The details of the requirements and costs are provided below. 

#### Given Data:

- **Periods:** 12 (1 to 12)
- **Gross Requirements:**
  - Period 1: 30 units
  - Period 2: 30 units
  - Period 3: 30 units
  - Period 4: 30 units
  - Period 5: 60 units
  - Period 6: 30 units
  - Period 7: 20 units
  - Period 8: 70 units
  - Period 9: 60 units
  
- **Costs:**
  - Holding Cost = $3.50 per unit per week
  - Setup Cost = $150
  - Lead Time = 1 week
  - Beginning Inventory = 40 units

#### Step-by-Step Process

1. **Period Analysis**:
   - **Period:** Each period from 1 to 12 will be analyzed separately.
   - **Gross Requirements:** The total units required for each period are as listed above.

2. **Tables for Calculation**:
   - **Scheduled Receipt:** Initially empty, this will be filled in based on the planned order releases and the lead time.
   - **Projected On-hand:** Beginning inventory for period 1 is 40 units. We will adjust for each subsequent period based on the remaining inventory after meeting gross requirements.
   - **Net Requirements:** Calculated as the remaining gap after accounting for on-hand inventory and scheduled receipts.
   - **Planned Order Receipt:** Reflects the units planned to be received in each period to meet net requirements.
   - **Planned Order Release:** Reflects the quantity released given the lead time.

3. **Total Cost Calculation**:
   - We will sum the holding costs and setup costs based on the projected on-hand inventory and planned orders.

Below is the table format to fill in the required data:

| **Period**              | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 | 11 | 12 |
|-------------------------|----|----|----|----|----|----|----|
Transcribed Image Text:### Lot-for-Lot Solution Calculation In this exercise, we will develop a lot-for-lot solution and calculate the total relevant costs for the given gross requirements over a 12-period horizon. The details of the requirements and costs are provided below. #### Given Data: - **Periods:** 12 (1 to 12) - **Gross Requirements:** - Period 1: 30 units - Period 2: 30 units - Period 3: 30 units - Period 4: 30 units - Period 5: 60 units - Period 6: 30 units - Period 7: 20 units - Period 8: 70 units - Period 9: 60 units - **Costs:** - Holding Cost = $3.50 per unit per week - Setup Cost = $150 - Lead Time = 1 week - Beginning Inventory = 40 units #### Step-by-Step Process 1. **Period Analysis**: - **Period:** Each period from 1 to 12 will be analyzed separately. - **Gross Requirements:** The total units required for each period are as listed above. 2. **Tables for Calculation**: - **Scheduled Receipt:** Initially empty, this will be filled in based on the planned order releases and the lead time. - **Projected On-hand:** Beginning inventory for period 1 is 40 units. We will adjust for each subsequent period based on the remaining inventory after meeting gross requirements. - **Net Requirements:** Calculated as the remaining gap after accounting for on-hand inventory and scheduled receipts. - **Planned Order Receipt:** Reflects the units planned to be received in each period to meet net requirements. - **Planned Order Release:** Reflects the quantity released given the lead time. 3. **Total Cost Calculation**: - We will sum the holding costs and setup costs based on the projected on-hand inventory and planned orders. Below is the table format to fill in the required data: | **Period** | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |-------------------------|----|----|----|----|----|----|----|
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