Based on the information shown below,

Week Actual Demand

$1780$

$2810$

$3750$

$4920$

$5910$

$6896$

a$.$ Develop forecasts for Week $7$ using an exponential smoothing model with

$=0\mathrm{.}55.$ Assume the forecast for Week $1$ was $800.$

b$.$ Calculate MAD and MSE for the exponential smoothing model using the data from Week $2$ to Week $6$