Using the data set below, what would be the forecast for period $5$ using a four period weighted moving average? The weights for each period are $0\mathrm{.}05,0\mathrm{.}15,0\mathrm{.}30,$ and $0\mathrm{.}50$ from the oldest period to the most recent period, respectively. $($Choose the closest answer.$)$

Period

Actual Demand

$1$

$11,900$

$2$

$12,500$

$3$

$14,325$

$4$

$15,750$

$5$

$10,500$

$6$

$15,500$