Hayden is a farmer deciding between two possible two crops to plant for the coming season: {corn, beans}. The two possible states of Nature are {good weather, bad weather}, and while beans are more weather resistant, corn is more profitable. If Hayden plants corn (a corn lottery, L_C),there will be 0.7 percent chance of good weather, yielding a gain of $20 mil. in profits, and a 0.3 percent chance of bad, yielding a loss of $8 mil.Planting beans (L_B) gives a 0.9 percent chance of good weather, resulting in $10 mil. in gains, and a 0.1 of bad, resulting in only a $2 mil. loss.

• a. Draw a decision tree to guide us.
• b. Which crop gives the highest expected utility, assuming Hayden gets direct utility from money? Show your calculations.