The question is in the screen shots.

1. Each week, three rational, utility-maximizing individuals (Bill, Mary, and Jane) select quantities of two goods, X and Y, to consume that will make them as happy as they can while staying within their budgets. Each also spends his /her entire income on these two goods each week. a. Bill's choices are represented by the following table: X X Bx Ex 1 Week One 10 20 2 1 40 Week Two 7 19 3 1 40 Week Three 8 31 3 1 55 Did Bill's utility increase or decrease between Week One & Week Two? Between Week One and Week Three? Explain using a graph in your answer. Can revealed preference arguments help here? Why or why not? b. Mary' 5 choices are represented by the following table: X X 21 Ex 1 Week One 10 20 2 1 40 Week Two 6 14- 2 2 40 Week Three 20 10 2 2 60 Did Mary' 5 utility increase or decrease between Week One and Week Three? Does Mary consider both goods to be normal? Why or why not? Explain. c. lane's choices are represented by the following table: X X Ex Ex 1 Week One 12 24 2 1 48 Week Two 16 32 1 1 48 Week Three 12 24 1 1 36 Plot lane's three chosen bundles on a well-labeled graph. What can be said about lane's preferences in this case? Provide an expression for lane's utility function in this case. Document the magnitude and direction of the substitution and income effects that result from a drop in the price of X from $2 / unit to $1 / unit