Given the following demand data,

Period Demand

$151$

$249$

$351$

$450$

$554$

Compute a weighted average forecast using a weight of $0\mathrm{.}5$ for the most recent period, $0\mathrm{.}3$ for the next most recent, $0\mathrm{.}1$ for the next, and $0\mathrm{.}1$ for the next.

Note: Round all your answers to two decimal points.

If the actual demand for period $6$ is $52,$ forecast demand for period $7$ using the same weights as in part a$.$