Christin has a monthly income of $500 that he allocates between two goods: food and clothing. Suppose food costs $8 per pound and clothing cost $5 per piece. a) Draw her budget constraint properly labelling the axes. b) Suppose also that her utility function is given by U(F, C) = 2F2 + C2. What combination of food and clothing does she buy in order to maximize her utility? Show your work mathematically. Round your answer to two (2) decimal points