$4.$ Beth's Hot Chips on$-$line business uses a T$1$ line to connect their electronic business to the internet. They have been in business for one year and have had the same bandwidth $($Internet access capacity$)$ for that entire year. Their percentage utilization is given as follows:

Month Bandwidth

January $35\mathrm{.}5\%$

February $38\mathrm{.}2\%$

March $44\mathrm{.}1\%$

April $47\mathrm{.}7\%$

May $51\mathrm{.}2\%$

June $55\mathrm{.}9\%$

July $60\mathrm{.}0\%$

August $62\mathrm{.}3\%$

September $65\mathrm{.}7\%$

October $71\mathrm{.}1\%$

November $75\mathrm{.}7\%$

December $79\mathrm{.}3\%$

Produce a forecast for the next month $($January of next year$)$ using each of the following techniques:

a$)$ Three period moving average.

b$)$ Three period weighted moving average using the weights of $1,2,$ and $5.$

c$)$ Exponential smoothing using the forecast for the first period of $35\%$ and $=0\mathrm{.}8.$