$($a$)$ An online store sells premium surgical face masks. The monthly demand for the face

masks for the past $12$ months are shown in the following table.

Apply the single exponential smoothing method to find the forecast for Month $13.$ Include

the MSE, MAD and MAPE in your calculations. Assume that the forecast for Month $1$ is

$320$ and $\backslash$alpha $=0\mathrm{.}65.$

In your opinion, is this method is suitable with the given demand information? Why do

you think so$?$

Month Demand

$1300$

$2360$

$3410$

$4289$

$5279$

$6302$

$7376$

$8450$

$9500$

$10660$

$11503$

$12511$