A financial advisor has recommended two possible mutual funds for investment: Fund A and Fund B. The return that will be achieved by each of these depends on whether the economy is good, fair, or poor. A payoff table has been constructed to illustrate this situation: State of Nature Good Fair Poor Investment Economy Economy Economy Fund A $10,000 $2,000 -$5,000 Fund B $6,000 $4,000 0 Probability 0.2 0.3 0.5 a. Draw the decision tree to represent this situation. b. Use Maximum Expected Monetary Value (EMV) method to choose the better option. c. Determine the Minimum Expected Opportunity Loss (EOL). Do maximum expected monetary value (EMV) and minimum expected opportunity loss (EOL) methods give you the same optimal alternative? d. Determine the expected value of perfect information (EVPI). What is the maximum amount that should be paid for a perfect forecast of the state of nature