Leslie owns a bakery, and she has collected data on the last nine weeks of demand for her cupcakes. She uses three forecasting methods: a $3-$week moving average; a $2-$week weighted moving average with wt $=0\mathrm{.}6$ and $wt-1=0\mathrm{.}4$; and exponential smoothing with alpha $=0\mathrm{.}5.$

$\backslash$table$[[,$A$,$B$,$C$,$D$,$E$,$F$,$G$],[1,$Week,Demand,$\backslash$table$[[3-$Week Moving$],[$Average$]],\backslash$table$[[2-$Week Weighted$],[$Moving Average$]],\backslash$table$[[$Exponential$],[$Smoothing$]],$Constants$],[2,1.,434.,,,434,,],[3,2,359,,,434,$Wt$-1,0\mathrm{.}4],[4,3.,466,,$B$,396\mathrm{.}50,$Wt$,0\mathrm{.}6],[5,4.,550,419\mathrm{.}67,423\mathrm{.}20,431\mathrm{.}25,,],[6,5.,601,458\mathrm{.}33,516\mathrm{.}40,490\mathrm{.}63,$Alpha,$0\mathrm{.}5],[7,6,456,539\mathrm{.}00,580\mathrm{.}60,545\mathrm{.}81,,],[8,7.,444,535\mathrm{.}67,514\mathrm{.}00,500\mathrm{.}91,,],[9,8,320,500\mathrm{.}33,448\mathrm{.}80,472\mathrm{.}45,,],[10,9,519,406\mathrm{.}67,369\mathrm{.}60,+2,,],[1,10||,???,$A$,439\mathrm{.}40,$C$,,]]$

Page $5$:

$5$

Page $6$:

What is the value that should be in the cell labeled $"$A$"?$

$419\mathrm{.}50$

$453\mathrm{.}50$

$480\mathrm{.}89$

$406\mathrm{.}67$

$427\mathrm{.}67$