Consider the following actual $($Upper A Subscript t$)$ and forecast $($Upper F Subscript t$)$ demand levels for a product.

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Time Period

t

Actual Demand

Upper A Subscript t

Forecast Demand

Upper F Subscript t

$1$

$55\mathrm{.}0$

$55\mathrm{.}00$

$2$

$45\mathrm{.}0$

$55\mathrm{.}00$

$3$

$58\mathrm{.}0$

$52\mathrm{.}50$

$4$

$47\mathrm{.}0$

$53\mathrm{.}88$

$5$

minus

$?$

The first$$ forecast, Upper F $1,$ was derived by observing Upper A $1$ and setting Upper F $1$ equal to Upper A $1.$ Subsequent forecasts were derived by exponential smoothing.

Part $2$

The smoothing constantLOADING... $($alpha$)$ used to derive the subsequent forecastsequals

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enter your response here. $($Round your response to two decimal$$ places.