Question

In: Operations Management

Given the time series sales data for years 2018 (quarter 1 to 4), 2019 (quarters 5...

Given the time series sales data for years 2018 (quarter 1 to 4), 2019 (quarters 5 to 8) as reported in the table below, forecast sales in quarters 9 to 12 of 2020. (20)

Quarters

Sales

Trend

Seasonal Factor

Average seasonal factor

Forecasted Sales

1

750

703.33

?

?

2

680

737.02

?

?

3

720

770.71

?

?

4

900

804.4

?

?

5

890

838.09

?

6

800

871.78

?

7

780

905.47

?

8

1050

939.16

?

9

?

?

10

?

?

11

?

?

12

?

?

The interpolation of historical data is

Solutions

Expert Solution

The above tabular values are put in the excel and found following equation

Y = 669.64+ 33.69x

Where Y represents the trend of sales and x represents the serial number of quaters

Using the above value, following table found

Seasonal factor = Actual Sale/Average sale

Grand Average = Average of two year's average = (762.5+880)/2 = 821.25

The values of seasonal factoors are written below

Forecasted sales for year 3 = Grand average*Average seasonal factor of that particular quater

Put all the values in a single table


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