The management of an oil company is trying to decide whether to drill for oil in a particular field in the Gulf of Mexico. It costs the company $600 thousand to drill in the selected field. The management believes that if oil is found in this field, its estimated value will be $3400 thousand. At present, this oil company believes that there is a 45% chance that the selected field actually contains oil. Before drilling, the oil company can hire a team of geologists to perform seismographic tests at a cost of $55 thousand. Based on similar tests in other fields, the tests have a 25% false negative rate (no oil predicted when oil is present) and a 15% false positive rate (oil predicted when no oil is present). A. Assume the oil company wants to maximize its expected net earnings. Please utilize decision tree analysis to determine its optimal strategy. B. Calculate the expected value of the information (EVI/EVSI) provided by the team of geologists. C. Calculate and interpret EVPI for this decision tree problem.

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The management of an oil company is trying to decide whether to drill for oil in a particular field
in the Gulf of Mexico. It costs the company $600 thousand to drill in the selected field. The
management believes that if oil is found in this field, its estimated value will be $3400 thousand. At
present, this oil company believes that there is a 45% chance that the selected field actually contains
oil. Before drilling, the oil company can hire a team of geologists to perform seismographic tests at a
cost of $55 thousand. Based on similar tests in other fields, the tests have a 25% false negative rate
(no oil predicted when oil is present) and a 15% false positive rate (oil predicted when no oil is
present).

A. Assume the oil company wants to maximize its expected net earnings. Please utilize decision
tree analysis to determine its optimal strategy.
B. Calculate the expected value of the information (EVI/EVSI) provided by the team of
geologists.
C. Calculate and interpret EVPI for this decision tree problem.

 
(1)
Dull
No drill
$600
Hire geo
1260
0.45
oil
$0
231.51
x
=1260
2800
0.55 -330
no oil х
(600)
tve
2318.51
-ve
195
drill
2318.51
no dhill
drill
no drill
$0
195
40
drill -600
011 34.00
test-55
0.85
orl
2800-2318.51
= 481.49K
X
0.15
no oil
no oil
0.75
2745
0.25 X = 686.25
2745 +
2333.25
+
--98.25
(b) Expected value of drilling with perfect info = 3400-600 = 2800
2318.51
current value of optimal solution =
EVPI expected value- cument value =
(655)
* = -491.25
(655)
(d) Expected net earnings = 2800
EV of drilling without any information = 1260K
EVPI = expected earnings EV of dulling w/o into = 2800-1260
=1540k
Transcribed Image Text:(1) Dull No drill $600 Hire geo 1260 0.45 oil $0 231.51 x =1260 2800 0.55 -330 no oil х (600) tve 2318.51 -ve 195 drill 2318.51 no dhill drill no drill $0 195 40 drill -600 011 34.00 test-55 0.85 orl 2800-2318.51 = 481.49K X 0.15 no oil no oil 0.75 2745 0.25 X = 686.25 2745 + 2333.25 + --98.25 (b) Expected value of drilling with perfect info = 3400-600 = 2800 2318.51 current value of optimal solution = EVPI expected value- cument value = (655) * = -491.25 (655) (d) Expected net earnings = 2800 EV of drilling without any information = 1260K EVPI = expected earnings EV of dulling w/o into = 2800-1260 =1540k
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