1. (POINTS: 10) Tom went to a pizza by the slice bar with Jerry. Tom loves pizza (x), and prefers it even more when he can eat them with Coke (y). While Jerry is super hungry and will devour any amount of pizza and Coke available to him, Tom knows that there is a sweet spot for him, that is, an amount of pizza and Coke that maximizes his satisfaction. Tom's preferences are represented by the utility function: u(x, y) = min {5, min{x, 2.5y}} Tom took $30 with him to the pizza joint, and when he got there he saw the prices for a slice of pizza or a cup of Coke were $3 and $1.50, respectively. (a) (Points: 2) What is Tom's budget constraint? Answer: (b) (Points: 6) How many slices of pizza and cups of Coke will Tom choose, in order to maximize his utility? Also, how much money does Tom uses? Assume Tom will not spend any money that does not increase his utility. Hint: Note, solving this problem using a Lagrangian is not an alternative. Try working some numbers through the utility function to get some intuition. Answer:(Points: 2) If Jerry needed money from Tom, what is the most money Tom can lend him? Explain