$5\mathrm{.}5$ Consider exercise $5\mathrm{.}2.$ Use exponential smoothing to forecast the value of demand for period $9.$ Suppose the trend factor for the first period is $+20.$ Use the following parameters. Suppose that the initial forecast value for the first period is $F_1=D_1=203.$

$($a$)$ Use $=0\mathrm{.}2,=0\mathrm{.}3.$

$($b$)$ Use $=0\mathrm{.}4,=0\mathrm{.}1.$

$($c$)$ Use $=0\mathrm{.}5,=0\mathrm{.}5.$

$($d$)$ Compare and contrast the above results. Plot the above three alternatives. Which one is the most accurate?