A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A...

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Finance

A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales

(Upper A Subscript tAt ), as shown below, indicates that an increasing trend is present. Smoothing constants are assigned the values of

alpha = 0.2 and beta =0.4 The firm assumes the initial forecast for month 1 (Upper F 1F1 )was13.00 units and the trend over that period Upper T 1T1 was

2.00 units.

Using trend-adjusted exponential smoothing, Forecasts (Upper F Subscript tFt ), Trend (Upper T Subscript tTt ), and Forecasts Including Trend (FIT Subscript tFITt ) for months 1 through 4 have already been developed and are provided below. Continue with the process and determine Upper F Subscript tFt , Upper T Subscript tTt , and FIT Subscript tFITt for months 5 and 6 (round your responses to two decimal places):

Month

(t )

Actual Demand

(Upper A Subscript tAt )

Forecast

(Upper F Subscript tFt )

Trend

(Upper T Subscript tTt )

Forecast Including Trend

(FIT Subscript tFITt )

1

14.0

13.00

2.00

15.00

2

16.0

14.80

1.92

16.72

3

20.0

16.58

1.86

18.44

4

20.0

18.75

1.98

20.73

5

25.0

?

?

?

6

21.0

?

?

?

7

32.0

8

26.0

9

38.0

10

-

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