Rachel spends her entire weekly budget M 2:- 1] on chocolates {:12} and truecrime books {3;}. If she spends all of M, she can buy: - 4 chocolates and 4 books - 5 chocolates and 2 books Wherever rounding is needed, please round to 3 decimal points. (a) [1 point) Let p; denote the price of a chocolate {3} and pg. denote the price of true-crime books {3;}. Using the above information, we can determine that my = :- {b} (1 point} If Rachel spends entire income M on buying books (y), what is the maximum number of books she could buy? {c} [1 point) If Rachel spends entire income M on buying chocolates {at}, what is the maximum number of chocolates she could buy? (d) (1 point} Rachel's preferences over chocolates [I] and truecrime books {y} is given by the utility function :3 U=Ioaat$, = 3' $_y, H} {v One property among the four listed below does not hold for Rachel's preferences. Which one? 0 Com plete O Transitive O Convex O Monotone (e) [1 point} Given the utility function in {d} and the budget constraint implied by parts {a}-{c}_ the maximum utility that Rachel could get is E