Consider the decision tree below. You are at the starting decision node DO (shown in the orange color). Assume all paths and decisions occur within a 1-year time horizon, so that no discounting is necessary. There are dollar investments, as shown, required at decision nodes D1 and D2. Which of the letters (shown in the red color) represents the optimal path maximizing the expected outcome value? Value, $ A 30 0.9 D3 Investment 0.4 100 $-50 0.1 0.6 -50 DI S-80 500 90 0.1 D1 500 $-80 90 Value $ 0.3 150 S-25 0.3 -30 0.4 75 0.5 200 D2 S-30- E 0.5 -100 $-35 50 O a. A O b. B O c. C O d. D O e. E O f. F

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider the decision tree below. You are at the starting decision node DO (shown in the orange color). Assume
all paths and decisions occur within a 1-year time horizon, so that no discounting is necessary. There are dollar
investments, as shown, required at decision nodes D1 and D2. Which of the letters (shown in the red color)
represents the optimal path maximizing the expected outcome value?
Value, $
A
30
0.9
D3
Investment
0.4
100
$-50
0.1
0.6
-50
DI
S-80
500
90
Transcribed Image Text:Consider the decision tree below. You are at the starting decision node DO (shown in the orange color). Assume all paths and decisions occur within a 1-year time horizon, so that no discounting is necessary. There are dollar investments, as shown, required at decision nodes D1 and D2. Which of the letters (shown in the red color) represents the optimal path maximizing the expected outcome value? Value, $ A 30 0.9 D3 Investment 0.4 100 $-50 0.1 0.6 -50 DI S-80 500 90
0.1
D1
500
$-80
90
Value $
0.3
150
S-25
0.3
-30
0.4
75
0.5
200
D2 S-30- E 0.5
-100
$-35
50
O a. A
O b. B
O c. C
O d. D
O e. E
O f. F
Transcribed Image Text:0.1 D1 500 $-80 90 Value $ 0.3 150 S-25 0.3 -30 0.4 75 0.5 200 D2 S-30- E 0.5 -100 $-35 50 O a. A O b. B O c. C O d. D O e. E O f. F
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