$1.$ Using Holt$`$s method $($double exponential smoothing$)$ to forecast demand for an athletic shoe by month, with $=0\mathrm{.}1$ and $=0\mathrm{.}2.$ Our last estimates of the intercept and slope were $1067\mathrm{.}2$ and $21\mathrm{.}6,$ respectively. This month$`$s demand is $1100.$

a$)$ Give your forecast for next month.

b$)$ Give your forecast for three months from now.