"fwo students, Alex and Monica, each have $24 to spend on their lunch at their school cafeteria every week. A slice of pizza (P) costs $3 and a submarine sandwich (S) costs $5. 2 3 a) Monica's preferences can be characterized by a utility function, u(P,S) = P/5 S /5 and the corresponding marginal rate of substitution of a slice of pizza for submarine sandwiches is given by MRS PS = _ Draw an indifference curve diagram (place slices of pizza on the horizontal axis) 31' and show her optimal bundle. How many slices of pizza and how many sandwiches does she buy on average in a given week? b) Alex loves both pizza and submarine sandwiches. He says that two slices of pizza give him the same level of satisfaction as one submarine sandwich. Draw an indifference curve diagram (place slices of pizza on the horizontal axis) and show his optimal bundle. How many slices of pizza and how many sandwiches does he buy on average in a given week? c) Suppose that Monica and Alex won the prize of \"two slices of pizza for the price of one for a week.\" Draw new diagrams and show their optimal bundles of the week, the substitution effect and the income effect (No calculation is necessary). Is Pizza a normal good for Monica? How about to Alex? Explain your answer by using the diagrams