100 75 C The above diagram shows Corey's budget line for food and clothing. His income is 375, and his utility function is given by U (F, C) = F1/3C 2/3. The marginal utilities of food and clothing are MUF = $6323 and MUC = 3(31/3. c. If Corey maximizes his utility, how much clothing and how much food does he buy? (4 marks) (1. Draw an indifference curve with the budget line to illustrate the utility maximization. (1 mark)