Perform a Multi$-$Attribute Decision analysis using the following utility table and k values. Which combination of Overrun Time and Extra Cost is the best choice?

Time Overrun

Utility

Cost

Utility

$0$

$1$

$33000$

$1$

$2\mathrm{.}6$

$0\mathrm{.}88$

$39000$

$0\mathrm{.}87$

$3$

$0\mathrm{.}44$

$61000$

$0\mathrm{.}8$

$5\mathrm{.}4$

$0$

$102000$

$0\mathrm{.}44$

$135000$

$0$

k$1=$

$0\mathrm{.}85$

k$2=$

$0\mathrm{.}77$

In this question, k$1$ represents the probability to make the manager against overrun time

k$2$ represents the probability to make the manager against extra cost

The value of k$3$ will be

Using the decision tree shown, determine the multi$-$attribute utilities at each terminal node for each combination of time and cost.

Use the letters below each cell to identify. Report each response to four decimals. Include a leading zero $($ for example $0\mathrm{.}2341)$

A$=$

B$=$

C$=$

D$=$

E$=$

Calculate the responses for each probability node shown.

Use the letters below each cell to identify. Report each response to four decimals. Include a leading zero $($ for example $0\mathrm{.}2341)$

F$=$

G$=$

The combination of Overrun Time and Extra Cost that is the best choice will be overrun time and $ extra cost

Compute the Ranked Order Centroid for $10$ Attributes

Report the weights to two decimal places. $($Include a leading zero for responses between $0$ and $1,$ for example $0\mathrm{.}87)$

Attribute Weight

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$