Develop a EOQ 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 20   30   30 30 20   10 40   60 ​*Holding cost   =​$   2.50​/unit/week; setup cost   =​$   150​; lead time   =1 ​week; beginning inventory   =40.   What is the average demand per​ week? ​ with 2 decimal places​):   Calculate Economic Order Quantity​ (EOQ) ​   Develop a EOQ solution ​(enter your responses as whole numbers​).                                                             Period   1 2 3 4 5 6 7 8 9 10 11 12 Gross requirements   20   30   30 30 20   10 40   60 Scheduled receipt                           Projected​ On-hand 40                         Net Requirements                           Setup cost for 12 weeks is ​$     Carrying cost  for 12 weeks is   ​ $   The total cost is ​$

Practical Management Science
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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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Develop a EOQ 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

20

 

30

 

30

30

20

 

10

40

 

60

​*Holding cost

 

=​$

 

2.50​/unit/week; setup cost

 

=​$

 

150​; lead time

 

=1 ​week; beginning inventory

 

=40.

 

What is the average demand per​ week? ​ with 2 decimal places​):

 

Calculate Economic Order Quantity​ (EOQ)

 

Develop a EOQ solution ​(enter your responses as whole numbers​).

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Period

 

1

2

3

4

5

6

7

8

9

10

11

12

Gross requirements

 

20

 

30

 

30

30

20

 

10

40

 

60

Scheduled receipt

 

 

 

 

 

 

 

 

 

 

 

 

 

Projected​ On-hand

40

 

 

 

 

 

 

 

 

 

 

 

 

Net Requirements

 

 

 

 

 

 

 

 

 

 

 

 

 

Setup cost for 12 weeks is ​$

 

 

Carrying cost  for 12 weeks is

 

​ $

 

The total cost is ​$

 

 

 

### Economic Order Quantity (EOQ) Solution and Total Relevant Cost Calculation

**Problem Statement: Develop an EOQ solution and calculate total relevant costs for the gross requirements in the following table.**

#### Table: Gross Requirements by Period

| Period | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 | 11 | 12 |
|--------|----|----|----|----|----|----|----|----|----|----|----|----|
| Gross Requirements | 20 | 30 | 30 | 30 | 20 | 10 | 40 | 60 |  

*Parameters:*
- Holding cost = $2.50/unit/week
- Setup cost = $150
- Lead time = 1 week
- Beginning inventory = 40

**Steps:**

1. **Average Demand Calculation:**
   *Calculate the average demand per week (with 2 decimal places).*

2. **EOQ Calculation:**
   *Calculate Economic Order Quantity (EOQ using whole numbers).*

3. **EOQ Solution Development:**
   *Develop an EOQ solution (responses as whole numbers).*

#### Detailed Steps and Calculation Table:

| Period | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 | 11 | 12 |
|--------|----|----|----|----|----|----|----|----|----|----|----|----|
| Gross Requirements | 20 | 30 | 30 | 30 | 20 | 10 | 40 | 60 |
| Scheduled Receipt  |    |    |    |    |    |    |    |    |    |    |    |    |
| Projected On-hand  | 40 |    |    |    |    |    |    |    |    |    |    |    |
| Net Requirements   |    |    |    |    |    |    |    |    |    |    |    |    |
| Planned Order Receipt |    |    |    |    |    |    |    |    |    |    |    |    |
| Planned Order Release |    |    |
Transcribed Image Text:### Economic Order Quantity (EOQ) Solution and Total Relevant Cost Calculation **Problem Statement: Develop an EOQ solution and calculate total relevant costs for the gross requirements in the following table.** #### Table: Gross Requirements by Period | Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |--------|----|----|----|----|----|----|----|----|----|----|----|----| | Gross Requirements | 20 | 30 | 30 | 30 | 20 | 10 | 40 | 60 | *Parameters:* - Holding cost = $2.50/unit/week - Setup cost = $150 - Lead time = 1 week - Beginning inventory = 40 **Steps:** 1. **Average Demand Calculation:** *Calculate the average demand per week (with 2 decimal places).* 2. **EOQ Calculation:** *Calculate Economic Order Quantity (EOQ using whole numbers).* 3. **EOQ Solution Development:** *Develop an EOQ solution (responses as whole numbers).* #### Detailed Steps and Calculation Table: | Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |--------|----|----|----|----|----|----|----|----|----|----|----|----| | Gross Requirements | 20 | 30 | 30 | 30 | 20 | 10 | 40 | 60 | | Scheduled Receipt | | | | | | | | | | | | | | Projected On-hand | 40 | | | | | | | | | | | | | Net Requirements | | | | | | | | | | | | | | Planned Order Receipt | | | | | | | | | | | | | | Planned Order Release | | |
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