Longhorn Storage has been opening self$-$storage mega locations throughout Texas. Once of the most popular locations is in Auston near the University of Texas, Austin campus. In$.$ order to meet the potential demand, Longhorn Storage has the option to build a new $($second$)$ facility just a quarter of a mile away, expanding its current site, or simply do nothing and potentially turn away demand. Analysts believe that there will be a $\backslash (30\backslash \%\backslash )$ chance of a continued strong market for self$-$storage, a $\backslash (40\backslash \%\backslash )$ chance that the market will remain stable, and a $\backslash (20\backslash \%\backslash )$ chance that the market will decline. Longhorn predicts that their expected profit for the upcoming fiscal year will be as follows under each market scenario:

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|\}$

$\backslash$hline & Strong Market & Stable Market & Declining Market $\backslash \backslash$

$\backslash$hline New Facility & $\backslash (\backslash$$ $720,000\backslash )$ & $\backslash (\backslash$mathbf$\{(\backslash$$ $110,000)\}\backslash )$ & $\backslash (\backslash$mathbf$\{(\backslash$$ $500,000)\}\backslash )\backslash \backslash$

$\backslash$hline Expand Current Facility & $440,000$ & $\backslash (\backslash$mathbf$\{(50,000)\}\backslash )$ & $\backslash ((95,000)\backslash )\backslash \backslash$

$\backslash$hline Do Nothing & $\backslash (\backslash$mathbf$\{125,000\}\backslash )$ & $0$ & $\backslash ((50,000)\backslash )\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

USE THE DRAWING TOOLS IN WORD OR POWERPOINT $($OR EXCEL ADD$-$IN TREEPLAN$),$ CREATE AND SOLVE THE DECISION TREE. UPLOAD THE FILE CONTAINING THE SOLUTION HERE.

$1.$ Use a decision tree analysis to analyze these decision alternatives.

$2.$ Based on your analysis, what decision should Longhorn Storage in Austin pursue?

$3.$ Given your recommendation, what would their expected annual profit be for the upcoming fiscal year?