Remember the forecasting problem faced by The Coffee Shop around the Corner $($CS$)$

that you worked on in the last homework: Hank, the owner of CS$,$ would like to forecast the

demand for mufins, which shows a significantly seasonal pattern in the course of a day.

Suppose you decided to use Winter's method to forecast the demand during Day $4.$

Assume $=0\mathrm{.}2,$ and $==0\mathrm{.}1.$

$($a$)$ Use the demand data from Days $2$ and $3$ to initialize Winter's method.

$($b$)$ What is your forecast for the total demand on Day $4?$

$($c$)$ Suppose the demand in the morning on Day $4$ turns out to be $48.$ What is your forecast

for the total demand in the remainder of Day $4?$