Rachel spends her entire weekly budget M > D on chocoiates (z) and truecrime books {9'}. If she spends all of M, she can buy: I 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 {2:} and pay denote the price of true-crime books {y}. Using the above information, we can determine that Mm: {b} {1 point} If Rachel spends entire income M on buying books {5:}. what is the maximum number of books she could buy? 9 = :i (c) (1 point} If Rachel spends entire income M on buying chocolates {3]. what is the maximum number of chocolates she could buy? {d} (1 point] Rachel's preferences over chocolates [z] and truecn'me books (3;) is given by the utility function E! z :3 y] y, a: at 3;. One propertyr among the four listed below does not hold for Rachel's preferences. Which one? U = Whig} ={ O Monotone O Tra nsitive 0 Corn plate 0 Convex [e] {1 point] Given the utility function in {d} and the budget constraint implied by parts {ch}, the maximum utility that Rachel could get is E