Given the data below, conduct a naive forecast for week $7.$ Using the moving average forecast technique of a $4-$week period, provide a forecast for week $7.$ Assuming the weight of $0\mathrm{.}2,0\mathrm{.}2,0\mathrm{.}3,$ and $0\mathrm{.}3$ assigned to the data below, provide a forecast for week $7$ using the weighted moving average technique. Please show your work.

Hint: On the weighted moving average, if there are no specific weights assigned to the period, adopt the heavier weights to the most recent actual values.

Period $($Week$)$

Demand

$1$

$57$

$2$

$62$

$3$

$58$

$4$

$60$

$5$

$60$

$6$

$56$