QUESTION 12 A company has experienced the following quarterly sales for the past eight quarters Demand Quarter (year Quarter (year 1) 2) 1 2 3 5 Deman d 10 12 22 6 26 26 7 30 4 19 8 22 Considering the following values for the intercept, slope, seasonal factors, and smoothing constants Go= 2.3362, So=-29.36, c.3= 0.5330, c.2-1.1752, c.1 1.2825, co=0.9203 a=0.2, y=0.1, B=0.1 Forecast four period ahead demand at time t=0. (t=0=present, period 8).
QUESTION 12 A company has experienced the following quarterly sales for the past eight quarters Demand Quarter (year Quarter (year 1) 2) 1 2 3 5 Deman d 10 12 22 6 26 26 7 30 4 19 8 22 Considering the following values for the intercept, slope, seasonal factors, and smoothing constants Go= 2.3362, So=-29.36, c.3= 0.5330, c.2-1.1752, c.1 1.2825, co=0.9203 a=0.2, y=0.1, B=0.1 Forecast four period ahead demand at time t=0. (t=0=present, period 8).
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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![**Question 12**
A company has experienced the following quarterly sales for the past eight quarters.
| Quarter (Year 1) | Demand |
|------------------|--------|
| 1 | 10 |
| 2 | 22 |
| 3 | 26 |
| 4 | 19 |
| Quarter (Year 2) | Demand |
|------------------|--------|
| 1 | 5 |
| 2 | 7 |
| 3 | 8 |
| 4 | 4 |
Forecasting demand for the next four periods requires using a given set of statistical coefficients:
- Intercept (c): 52.38
- Seasonal factors: S1 = 2.39, S2 = 3.05, S3 = 0.24, S4 = 1.25
- Smoothing constants:
- α = 0.2
- β = 0.3
- γ = 0.2
- Lag factors: d = 12
- Additional constants:
- c1 = 20.14
- c2 = 30.00
- c3 = 2.00
Forecast the four-period ahead demand at time t=0, where t-0 is the present (period 8).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F951a61da-2b6a-4dc8-b4fb-611c3db1a5ae%2F0c43953c-b17c-4c2b-ae84-413730a777c1%2Flwd1x2_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 12**
A company has experienced the following quarterly sales for the past eight quarters.
| Quarter (Year 1) | Demand |
|------------------|--------|
| 1 | 10 |
| 2 | 22 |
| 3 | 26 |
| 4 | 19 |
| Quarter (Year 2) | Demand |
|------------------|--------|
| 1 | 5 |
| 2 | 7 |
| 3 | 8 |
| 4 | 4 |
Forecasting demand for the next four periods requires using a given set of statistical coefficients:
- Intercept (c): 52.38
- Seasonal factors: S1 = 2.39, S2 = 3.05, S3 = 0.24, S4 = 1.25
- Smoothing constants:
- α = 0.2
- β = 0.3
- γ = 0.2
- Lag factors: d = 12
- Additional constants:
- c1 = 20.14
- c2 = 30.00
- c3 = 2.00
Forecast the four-period ahead demand at time t=0, where t-0 is the present (period 8).
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