Given the following demand data,

$\backslash$table$[[$Period$,$Demand$],[1,42],[2,40],[3,44],[4,40],[5,45]]$

a$.$ Compute a weighted average forecast using a weight of $0\mathrm{.}4$ for the most recent period, $0\mathrm{.}3$ for the next most recent, $0\mathrm{.}2$ for the next, and $0\mathrm{.}1$ for the next.

Note: Round all your answers to two decimal points.

Forecast Period $5$

Forecast Period $6$

b$.$ If the actual demand for period $6$ is $43,$ forecast demand for period $7$ using the same weights as in part a$.$