a$.$ When might a manager prefer linear trend technique to simple moving average technique? Explain your answer. $(5$ points$)$

b$.$ Based on MAD over years $3,4$ and $5,$ which method $($linear$-$trend or double exponential smoothing method with $=0\mathrm{.}4$ and $=0\mathrm{.}2($start with initial estimates S$1=$ $$4,867\mathrm{.}90$ and T$1=$ $$201\mathrm{.}5$ for the year $1))$ provides the better forecasts? Explain. Forecast the sales revenues for years $6$ and $7$ based on the better method $(20$ points$)$