Table below shows the data on customer demand for the past $4$ weeks:

Mon Tue Wed Thu

Week $1150178210215$

Week $2160220245262$

Week $3190265274285$

Week $4250276295302$

a$)$ What forecasting method is appropriate? Why?

b$)$ Determine initial values of parameters required to initiate the model.

c$)$ Assume that the observed demand for the first day of week $5$ was $218.$ Using $=0\mathrm{.}2$ and

$=0\mathrm{.}15,$ and $=0\mathrm{.}10,$ update the estimates of the series, the slope and the seasonal

factors.

d$)$ What are the forecasts made at the end of the first day of week $5$ for the remaining three

days of week $5?$