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typical seasonal index of the surf board

Question 1:
I started my own company manufacturing surf boards. For the last three years I recorded the following number of surf board sales for each quarter.

Quarter

Year Winter Spring Summer Fall

2002 4 10 7 3

2003 5 12 9 4

2004 6 16 12 4

Determine a typical seasonal index for each of the four quarters.

Question 2:
The surf board business is definitely growing and in the spring of 2005 my sales totaled 15 boards for that quarter, but I have expected it because the typical seasonal index for that quarter is 1.668. The typical seasonal index for the fall quarter is .477. How many boards should I expect to sell in the fall of 2005?

Solution Preview

Please see attached file.

We can set up the following table.

Quarter

Year Winter Spring Summer Fall

2002 4 10 7 3

2003 5 12 9 4

2004 6 ...

Solution Summary

It shows how to calculate the typical seasonal index of the surf board.

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