$(**)$ Develop an exponential smoothing forecast for February $2019$ through January $2020.$ Assume that your forecast for January $2019$ was $100.$ Calculate the MFE, MAD, and MAPE values for February through December $2020.$

For problems $7$ through $9,$ use the following time series data:

PERIOD

DEMAND

$1$

$221$

$2$

$247$

$3$

$228$

$4$

$233$

$5$

$240$

$6$

$152$

$7$

$163$

$8$

$155$

$9$

$167$

$10$

$158$