Austin$$s accountant, Livian Oblivion, forecasts Behemoth sales using instead $$exponential smoothing$$ method with an alpha value $(\backslash$alpha $)$ of $0\mathrm{.}20.$ Her forecast, when using the method, for April was $30.$ We still consider the same 'actual' sales data for January thru April: $30($Jan$.),25($Feb$.),31($Mar$.),$ and $35($Apr$.).$

Note again: To obtain full credit on each of the questions below $(2$a $2$c$),$ show your work,in doing so$,$ round each answer$/$response to whole numbers $($# of units$).$

$2-$a$.$ What will she forecast for May?

$2-$b$.$ Actual sales for May were $26$; then the forecast for June, when still using the $$exponential smoothing$$ method, is:

$2-$c$.$ Actual sales for June were $35$; then, the forecast for July, when also using the $$exponential smoothing$$ method, is: