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44. The senior executives of an oil company are trying to decide whether to drill for oil in a particular field in the Gulf of Mexico. It costs the company $600,000 to drill in the selected field. Company executives believe that if oil is found in this field its estimated value will be $3,400,000. At present, this oil company believes that there is a 45% chance that the selected field actually contains oil. Before drilling, the company can hire a geologist at a cost of $55,000 to perform seismographic tests. 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. Assuming that this oil company wants to maximize its expected net earnings, use a decision tree to determine its optimal strategy.
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