At a decision point in a decision tree, which of the following machine would you select when trying to maximize payoff? The anticipated payoff of selecting machine A is $45,000 with a probability of 90% and $35,000 with a probability of 10%; The expected payoff of selecting machine B is $80,000 with a probability of 55% and $20,000 with a probability of 45% ; the expected payoff of selecting machine C is $60,000 with a probability of 75% and $70,000 with a probability of 25%?

a. You would be indifferent between machines A and C.

b. Machine A

c. Machine B

d. Machine C

e. You would be indifferent between machines A and B.

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76