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 $0\mathrm{.}10,0\mathrm{.}15,0\mathrm{.}25,$ and $0\mathrm{.}50$ from the oldest period to the most recent period, respectively. $($Choose the closest answer.$)$PeriodActual Demand$12,00012,30014,17516,12510,37515,2754\mathrm{.}15\mathrm{.}16\mathrm{.}18.$a$.12,814$b$.13,650$c$.14,651$d$.12,575$