Use the Sport Shop data set below, $\backslash$alpha $=0\mathrm{.}2$

$,$ and $\backslash$beta $=0\mathrm{.}4$

to calculate the adjusted exponential smoothing forecast for the number of sports equipment that will be sold in $2022.$ Assume the forecast component for year $2015$ to be the actual value of year $2015$ minus the initial trend. Let the initial trend be $30$

sports equipment. Round your answer to two decimal places, if necessary.

Year Number of Sports Equipment

$2016510$

$2017704$

$2018844$

$2019681$

$2020794$

$2021843$