A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales (A₂), as shown below, indicates that an increasing trend is present. Smoothing constants are assigned the values of α = 0.20 and ß = 0.4. The firm assumes the initial forecast for month 1 (F₁) was 9.00 units and the trend over that period T, was 2.00 units. Using trend-adjusted exponential smoothing, Forecasts (F₂), Trend (T₂), and Forecasts Including Trend (F/T.) for months 1 through 4 have already been developed and are provided below. Continue with the process and determine F₁, T., and FIT, for months 5 and 6 (round your responses to two decimal places): Month (1) 1 2 3 4 5 6929 7 8 10 Actual Demand (A₂) 10.0 16.0 23.0 20.0 25.0 22.0 30.0 26.0 38.0 Forecast (F₂) 9.00 10.80 13.38 17.05 Trend (T₂) 2.00 1.92 2.18 2.78 Forecast Including Trend (FIT₂) 11.00 12.72 15.56 19.83
A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales (A₂), as shown below, indicates that an increasing trend is present. Smoothing constants are assigned the values of α = 0.20 and ß = 0.4. The firm assumes the initial forecast for month 1 (F₁) was 9.00 units and the trend over that period T, was 2.00 units. Using trend-adjusted exponential smoothing, Forecasts (F₂), Trend (T₂), and Forecasts Including Trend (F/T.) for months 1 through 4 have already been developed and are provided below. Continue with the process and determine F₁, T., and FIT, for months 5 and 6 (round your responses to two decimal places): Month (1) 1 2 3 4 5 6929 7 8 10 Actual Demand (A₂) 10.0 16.0 23.0 20.0 25.0 22.0 30.0 26.0 38.0 Forecast (F₂) 9.00 10.80 13.38 17.05 Trend (T₂) 2.00 1.92 2.18 2.78 Forecast Including Trend (FIT₂) 11.00 12.72 15.56 19.83
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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![A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales (\(A_t\)), as shown below, indicates that an increasing trend is present. Smoothing constants are assigned the values of \(\alpha = 0.20\) and \(\beta = 0.4\). The firm assumes the initial forecast for month 1 (\(F_1\)) was 9.00 units and the trend over that period \(T_4\) was 2.00 units.
Using trend-adjusted exponential smoothing, Forecasts (\(F_t\)), Trend (\(T_t\)), and Forecasts Including Trend (\(FIT_t\)) for months 1 through 4 have already been developed and are provided below. Continue with the process and determine \(F_t\), \(T_t\), and \(FIT_t\) for months 5 and 6 (round your responses to two decimal places):
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Month (t)} & \text{Actual Demand (A_t)} & \text{Forecast (F_t)} & \text{Trend (T_t)} & \text{Forecast Including Trend (FIT_t)} \\
\hline
1 & 10.0 & 9.00 & 2.00 & 11.00 \\
2 & 16.0 & 10.80 & 1.92 & 12.72 \\
3 & 23.0 & 13.38 & 2.18 & 15.56 \\
4 & 20.0 & 17.05 & 2.78 & 19.83 \\
5 & 25.0 & - & - & - \\
6 & 22.0 & - & - & - \\
7 & 30.0 & - & - & - \\
8 & 26.0 & - & - & - \\
9 & 38.0 & - & - & - \\
10 & - & - & - & - \\
\hline
\end{array}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa532d6c3-fc4a-4c4d-b082-7cb1920e9739%2F1054cd1b-4198-4b3d-a533-b09d7635d257%2Fq01ek4p_processed.png&w=3840&q=75)
Transcribed Image Text:A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales (\(A_t\)), as shown below, indicates that an increasing trend is present. Smoothing constants are assigned the values of \(\alpha = 0.20\) and \(\beta = 0.4\). The firm assumes the initial forecast for month 1 (\(F_1\)) was 9.00 units and the trend over that period \(T_4\) was 2.00 units.
Using trend-adjusted exponential smoothing, Forecasts (\(F_t\)), Trend (\(T_t\)), and Forecasts Including Trend (\(FIT_t\)) for months 1 through 4 have already been developed and are provided below. Continue with the process and determine \(F_t\), \(T_t\), and \(FIT_t\) for months 5 and 6 (round your responses to two decimal places):
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Month (t)} & \text{Actual Demand (A_t)} & \text{Forecast (F_t)} & \text{Trend (T_t)} & \text{Forecast Including Trend (FIT_t)} \\
\hline
1 & 10.0 & 9.00 & 2.00 & 11.00 \\
2 & 16.0 & 10.80 & 1.92 & 12.72 \\
3 & 23.0 & 13.38 & 2.18 & 15.56 \\
4 & 20.0 & 17.05 & 2.78 & 19.83 \\
5 & 25.0 & - & - & - \\
6 & 22.0 & - & - & - \\
7 & 30.0 & - & - & - \\
8 & 26.0 & - & - & - \\
9 & 38.0 & - & - & - \\
10 & - & - & - & - \\
\hline
\end{array}
\]
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