A company assembles customized personal computers from generic parts. It assembles

computers mostly at night, using part$-$time students. It purchases generic computer parts

in volume at a discount from a variety of sources whenever there is a good deal. Thus,

it needs a good forecast of demand for its computers and has compiled demand data for

the last $12$ months as reported below.

Period Month Demand Period Month Demand

$1$

$2$

$3$

$4$

$5$

$6$

January

February

March

April

May

June

$36$

$42$

$40$

$35$

$47$

$53$

$7$

$8$

$9$

$10$

$11$

$12$

July

August

September

October

November

December

$41$

$49$

$57$

$50$

$57$

$53$

Use exponential smoothing with smoothing parameters $\backslash$alpha $=0\mathrm{.}4$ and $\backslash$alpha $=0\mathrm{.}7$ to compute

the demand forecast for January $($Period $13).$