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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