The Duxiana store has the following demand figures for the last four years:

Year

Demand

$1$

$100$

$2$

$150$

$3$

$112$

$4$

$200$

Given the demand forecast for year $2$ of $100,$ the trend forecast for year $2$ of $10,$ an alpha of $0\mathrm{.}3,$ and a beta of $0\mathrm{.}2,$ what is the demand forecast for year $5$ using the double exponential smoothing method?

A$.$

$120$

B$.$

$166$

C$.$

$135$

D$.$

Cannot be determined Get this right please!