Problem $1.$ GameStop $($Tampa$)$ is forecasting sales for the Playstation $5$ in week $6,$ below are the current sales figures for the previous $5$ weeks:

$\backslash$table$[[$time t$,$Week,Sold,N$$ve$,3$ Week Moving,$\backslash$table$[[$Weighted$],[$Average$]],\backslash$table$[[$Exponential$],[$Smoothing$]],\backslash$table$[[$Linear$],[$Trend$]]],[1,5$ Weeks ago:,$700,,,,,],[2,4$ Weeks ago:,$725,,,,,],[3,3$ Weeks ago:,$740,,,,,],[4,2$ Weeks ago:,$760,,,,,],[5,1$ Week ago:,$775,,,,,],[6,,,,,,,]]$

$1\mathrm{.}1$ Forecast using the Na$$ve Approach

$1\mathrm{.}2$ Equation and forecast using a three$-$week moving average

$1\mathrm{.}3$ Equation and forecast using a weighted average using $\mathrm{.}75$ for last week $($time $t=5),\mathrm{.}15$ for $2$ weeks ago $($time $t=4)$ and $\mathrm{.}10$ for $3$ weeks ago $($time $t=3)$