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Sav core: 0 of 15 pts roblem 4.21 A large Portiand manufa 3 of 7 (6 complete) HW Score: 41%, 41 of 100 i Question Help | acturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales (A,), as shown below, indicates that an increasing trend is present. Smoothing constants are assigned the values of α-020 and β Ο 4 The firm assumes the initial forecast for month 1 (Fi) was , was 200 units. 3 00 units and the rer over that penod Using trend-adjusted exponential smoothing. Forecasts (F). Trond(T), and Forecasts Inluding Trend (FITr) for months 1 through 4 have already been developed and are provided below. Continue with the process and determine Fr. T, and FIT, for months 5 and 6 (round your responses to two decimal piaces) Month Actual Demand Forecast (At) 14.0 16.0 24.0 19.0 22.0 (Ft) 13.00 14.80 16.58 19.55 Trend (Tt) 2.00 1.92 1.86 2.30 Forecast Including Trend (FIT) 15.00 16,72 18.44 21.85 21 Ο 30.0 27.0 Enter your answer in the edit fields and then click Check Answer Clear All All parts showing 2:26 AM Type here to search 1/28/2019 띠+

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Answer #1

F_t = FIT_t + \alpha (X_{t-1} -FIT_{t-1})

T_t = T_{t-1} + \beta (F_t-FIT_{t-1})

FIT_t=F_t+T_t

Using the above given formulae, simply calculate the missing values.

The complete (corrected) table is given as:

t At Ft Tt FITt
1 14 13 2 15
2 16 14.8 1.92 16.72
3 24 16.576 1.8624 18.4384
4 19 19.55072 2.307328 21.85805
5 22 21.28644 2.078684 23.36512
6 21 22.94939 1.912389 24.86178
7 30 - - -
8 27 - - -
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