Solve the following problems using the Decision Analysis. Construct first the decision tree, and then use Bayes' Formula to determine the optimal decision. Decision Problems 1. The Quano Company is considering the purchase of mineral rights on a piece of property for P1 million. The price includes a seismic test whether the land is of type X or Y geological formation. The test cannot be done until after the purchase is made. According to reliable information 60% of the land is of type X formation and 40% of the area is of type Y. If the company decides to drill on the land, it will cost P2.5 million. It may hit oil, gas, or a dry well. Drilling experience indicates that the probability of hitting oil is 25% on X formation and 10% on Y formation. The probability of hitting gas is 30% on X formation and 45% on Y formation. The estimated return for an oil well is P5 million and from a gas well, P3 million. Should the company purchase mineral rights?

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Solve the following problems using the Decision Analysis. Construct first the decision tree, and then
use Bayes' Formula to determine the optimal decision.
Decision Problems
1. The Quano Company is considering the purchase of mineral rights on a piece of property
for P1 million. The price includes a seismic test whether the land is of type X or Y
geological formation. The test cannot be done until after the purchase is made.
According to reliable information 60% of the land is of type X formation and 40% of the
area is of type Y. If the company decides to drill on the land, it will cost P2.5 million. It
may hit oil, gas, or a dry well. Drilling experience indicates that the probability of hitting
oil is 25% on X formation and 10% on Y formation. The probability of hitting gas is 30%
on X formation and 45% on Y formation. The estimated return for an oil well is P5
million and from a gas well, P3 million. Should the company purchase mineral rights?
Transcribed Image Text:Solve the following problems using the Decision Analysis. Construct first the decision tree, and then use Bayes' Formula to determine the optimal decision. Decision Problems 1. The Quano Company is considering the purchase of mineral rights on a piece of property for P1 million. The price includes a seismic test whether the land is of type X or Y geological formation. The test cannot be done until after the purchase is made. According to reliable information 60% of the land is of type X formation and 40% of the area is of type Y. If the company decides to drill on the land, it will cost P2.5 million. It may hit oil, gas, or a dry well. Drilling experience indicates that the probability of hitting oil is 25% on X formation and 10% on Y formation. The probability of hitting gas is 30% on X formation and 45% on Y formation. The estimated return for an oil well is P5 million and from a gas well, P3 million. Should the company purchase mineral rights?
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