Bubba Wildcat has the opportunity to buy a tract of land under which he believes

Bubba Wildcat has the opportunity to buy a tract of land under which he believes there is oil with 0.40 probability and natural gas with 0.60 probability. After buying the land he can choose to make a test drill for $10000 to gather more information. A positive result indicates there is oil. The false positive rate is 20% and the false negative rate is 10%. The expected cost of full-scale drilling is $100000 regardless of whether there is oil or gas or whether he made a test drill or not. If oil is discovered Bubba will receive an expected income of $150000 above the cost of the land. If natural gas is discovered then Bubba will receive anexpected income of $50000 above the cost of the land. Assume Bubba is risk neutral. Draw a decision tree and solve for an optimal decision plan for Bubba.