7. (12 pts) UW Oil needs to decide whether or not to drill for oil in Texas. Drilling costs $100,000. If oil is found, its value is estimated to be $600,000. At present, the company believes there is a 45% chance that the field contains ol. Before drilling, UW Oil can test the site (cost: $10,000 ). There is 50% chance of getting a favorable report. If the result is favorable, the chance that the 10%. given, the chance of having oil is only 10%. a. (5 pts) Make a decision tree. Give proper descriptions in the values at each node of the tree and b. (4 pts) Determine the optimal decision (show vat each decision node.) c. (3 pts) Determine EVSI