Question: 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?

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
2.6 0.88 39000 0.87
3 0.44 61000 0.8
5.4 0 102000 0.44
135000 0
k1 = 0.85
k2= 0.77

a. In this question, k1 represents the probability to make the manager _______ against overrun time

k2 represents the probability to make the manager _________ against extra cost

The value of k3 will be ___________.

b. 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 0.2341)

A =

B =

C =

D =

E =

c. 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 0.2341)

F =

G =

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

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