Suppose a four$-$period weighted average is being used to forecast demand. Weights for the periods are as follows: $w_{t-4}=0\mathrm{.}1,w_{t-3}=0\mathrm{.}2,w_{t-2}=0\mathrm{.}3$ and $w_{t-1}=0\mathrm{.}4.$ Demand observed in the previous four periods was as follows: $A_{t-4}=380,A_{t-3}=410,A_{t-2}=390,$ and $A_{t-1}=400.$ What will be the demand forecast for period t$?$

Multiple Choice

$402$

$397$

$399$

$393$

$403$