Demand for the first six periods are shown below. Forecast demands using a three$-$period weighted moving average and calculate MSE. The weights are $0\mathrm{.}1,0\mathrm{.}3,$ and $0\mathrm{.}6$ where $0\mathrm{.}6$ is applied to the most recent period.

Period Demand Forecast

$11,918$

$22,042$

$32,114$

$42,224$

$52,316$

$62,347$