5. Indifference curves. Assume that the consumer purchases only two goods, x and y. Based on the information in each of the following parts, sketch a plausible set of indifference curves (that is, draw at least two curves, and indicate the direction of higher utility). (a) Nomis enjoys muffins (x) and chai latte (y) if they are consumed together. (b) Tra likes chocolate (x), but he hates broccoli (y). (c) Aras likes steaks (x), but she doesn't care one way or the other about apples (y). (d) Fernando always buys five Polo-shirts (x) with every pair of jeans (y). (e) Paolo is happiest when he consumes exactly two brownies (x) and four glasses of milk (y); any more or less is just not as good.1. Let X be a random variable having pdf f(x) = 6x(1 - x) for 0