Given the following demand data,

$\backslash$table$[[$Period$,$Demand$],[1,49],[2,47],[3,49],[4,47],[5,52]]$

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. $($Round all your answers to two decimal points.$)$

$\backslash$table$[[$Forecast Period $5],[$Forecast Period $6]]$

b$.$ If the actual demand for period $6$ is $49,$ forecast demand for period $7$ using the same weights as in part a$.$

Forecast Period $7$