Problem p$)$: Emergency calls to the $911$ system of Durham, North Carolina, for the past $6$ weeks are shown in the following table:

Table $7$

$\backslash$table$[[$Week$,$Calls,Forecast Exponential Smoothing $=0\mathrm{.}20,\backslash$table$[[$Absolute$],[$Deviation$]]],[1,50,50,0],[2,35,,],[3,25,,],[4,40,,],[5,45,,],[6,35,,],[7,,,]]$

a$.)(8$ p$)$ Compute the exponentially smoothed forecast of calls for each week. Assume an initial forecast of $50$ calls in the first week, and use alpha $=0\mathrm{.}2.$ Calculate the forecast for week $7$ and MAD and fill Table $7($include first week to calculate MAD$)($Round to $2$ decimal places.$)$ the actual demand better?