Given the following demand data,

$\backslash$table$[[$Period$,$Demand$],[1,42],[2,40],[3,44],[4,39],[5,46]]$

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 next, and $0\mathrm{.}1$ for the next. $($Round all your answers to two decimal points.$)$

$\backslash$table$[[,],[$Forecast Period $5,43\mathrm{.}80],[$Forecast Period $6,44\mathrm{.}40]]$

b$.$ If the actual demand for period $6$ is $41,$ forecast demand for period $7$ using the same weights as in part a$.$

Forecast Period $7$