A banana costs $0.50 and a piece of candy costs $0.25 at the local cafeteria. You have $1.25 in your pocket and you value money. The money-equivalent value (payoff ) you get from eating your first banana is $1.20, and that of each additional banana is half the previous one (the second banana gives you a value of $0.60, the third $0.30, and so on). Similarly the payoff you get from eating your first piece of candy is $0.40, and that of each additional piece is half the previous one ($0.20, $0.10, and so on). Your value from eating bananas is not affected by how many pieces of candy you eat and vice versa.
Required:
a. What is the set of possible actions you can take given your budget of $1.25?
b. Draw the decision tree that is associated with this decision problem.
c. Should you spend all your money at the cafeteria? Justify your answer with a rational choice argument.