The Coffee Shop around the Corner $($CS$)$ is famous for its fresh$-$made muffins. Hank, the

owner of CS$,$ knows that the demand for muffins depends very much on the time of the day:

The demand is high in the morning, decreases in the afternoon hours, and is at its lowest in

the evening. Hank is having trouble deciding how many muffins to make for each period of

the day. He asked you to help him forecast the demand. If you do a good job in forecasting

the demand for tomorrow, Hank will pay you to do this job on a recurring basis. The following

is the demand data Hank collected in the past three days:

Using a $5-$period moving average, forecast the morning, afternoon and evening demand for

the muffins on Day $4.($Hint: You will first need to deseasonalize the historical demand data

using centered moving averages. To calculate the CMA for periods $1$ and $9,$ take the CMA

averages of periods $2,3$ and $7,8,$ respectively, like we did in class.$)$