Certainly! Let's determine the three-period moving average forecast for week 4 based on the given sales data for the past 6 weeks.
The data provided is as follows:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Week} & \text{Units Sold} \\
\hline
1 & 88 \\
\hline
2 & 44 \\
\hline
3 & 54 \\
\hline
4 & 65 \\
\hline
5 & 72 \\
\hline
6 & 85 \\
\hline
\end{array}
\][/tex]
To calculate the three-period moving average forecast for week 4, we'll take the average of the units sold in the previous three weeks (i.e., weeks 1, 2, and 3).
Here are the steps for the calculation:
1. Identify the units sold for weeks 1, 2, and 3:
[tex]\[
\text{Units sold in week 1} = 88
\][/tex]
[tex]\[
\text{Units sold in week 2} = 44
\][/tex]
[tex]\[
\text{Units sold in week 3} = 54
\][/tex]
2. Calculate the sum of the units sold in these three weeks:
[tex]\[
\text{Sum} = 88 + 44 + 54 = 186
\][/tex]
3. Compute the average by dividing the sum by the number of weeks (3):
[tex]\[
\text{Three-period moving average forecast for week 4} = \frac{186}{3} = 62.0
\][/tex]
Therefore, the three-period moving average forecast for week 4 is [tex]\(62.0\)[/tex].
