2. Carina buys two goods, food (F ) and clothing (0 ), with the utility function U(F,C) = PC + F. She has an income of $20, and the price of clothing is $4 per unit. (a) Compute the optimal consumption bundle when the price of food is $1 per unit. (b) Suppose the price of food rises to $4 per unit. What is the new optimal bundle? (c) How much of the change in food consumption from part 'a' to part 'b' is attributable to the substitution effect and how much to income effect? Use the Hicksian Decomposition. ((1) Answer the same questions 'a'-'c' when the utility is U(F, C) = 2F1/2 + C