$1.(10$ points$)$ An in$-$depth study of patterns of consumer behavior revealed that Jordan is indifferent between consuming the combinations of coffee $(\backslash ($ x$\_\{1\}\backslash ))$ and cookies $\backslash (\backslash$left$($x$\_\{2\}\backslash$right$)\backslash )$ given in Table $1.$

Table $1$: Jordan's preferences. Jordan is indifferent between the consumptions bundles represented in each row.

$($a$)(5$ points$)$ Using Excel, draw a scatter plot of Jordan's indifference curve for the data given, fit a power trendline, and obtain the equation for this indifference curve. To do this,

$-$ Input the data in Excel, highlight both data columns, and then select "Insert" $>$ "Scatter." This will create the scatter plot.

$-$ Open the "Chart Elements" menu. $($For PC$,$ you can do this by clicking on the graph and then clicking on the first of the three buttons on the upper right side of the graph.$)$ In "Chart Elements," click on "Trendline" $>$ "More Options."

$-$ From the side bar that appears, click on both "Power" and "Display Equation on Chart." NOTE: The equation will be reported as $\backslash ($ y $\backslash )$ in terms of $\backslash ($ x $\backslash )$; for our purposes, $\backslash ($ x $\backslash )$ is $\backslash ($ x$\_\{1\}\backslash )$ and $\backslash ($ y $\backslash )$ is $\backslash ($ x$\_\{2\}\backslash ).$

$($b$)(5$ points$)$ From the equation for Jordan's indifference curve, compute the formula for the MRS$.$