Decision Making $-$ both DMUU & DMUR

Consider the following decision matrix presenting net profit$/$loss estimates regarding an investment project:

$\backslash$table$[[,,$DEMAND,,$],[,,$LOW,MEDIUM,HIGH$],[$EOCMPMENTUSED$,$Small,$33,40,50],[,$Medium,$10,60,60],[,$Large,$-50,30,110]]$

Considening that the probabilities applicable to demand are not known, show the decision recommendations from the points of view of MXXX; MXMN; REAUSM at Apha$=0\mathrm{.}65$; EOL LIKE'HD; and MIN. REGRETS. Do you see a pattern? Which equipment would you choose? Explain.

Consider now that the probabithes for demand being low, medium and high have been caloulated as $20,35,$ and $45,$ respectively. By using a decision tree, find the expected value $(\stackrel{}{x}$ Xbar$),$ the standard deviation $($ Sigma$),$ and the coefficient of variation $($ COV $)$ for each size of equipment. Which size of equipment would you recommend on the basis of the three statistics that you calculated?

Referring to the Z$-$Table, calculate the probability that each alternative $($each different equipment$)$ will turn out at least a $$52$ profit? What is the likelihood that each alternative will produce a profit BETWECN $$6$ and $$68?$

Be sure to show work, indicate the recommended altemative cach time, providea summary table $($see below$),$ and support your final stistement with areason.

Overall DMUU: $($Give Reasons!$)$

DMCIR: Results

$\backslash$table$[[$it$,\frac{?}{\text{b}\text{a}\text{r}}(\frac{x}{b}ar),$Sigma,CoV,Normal Dist.,Normal$],[,,,,,$Dist. $\%$