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Problem $12-1($Algo$)$

Assume you are forecasting with an exponential smoothing model using $\backslash$alpha $=0\mathrm{.}58.$

a$.$ How much weight is placed on the most recent actual demand? $($Round your answer to $2$ decimal places.$)$

b$.$ How much weight is given to the demand one time period older than the most recent data? $($Round your answer to $3$ decimal places.$)$

c$.$ How much weight is given to data from two periods in the past? $($Round your answer to $3$ decimal places.$)$