Suppose that Bridget and Erin spend their incomes on two goods, food (F) and clothing (C). Bridget’s preferences are represented by the utility function U(F,C)=10FC, while Erin’s preferences are represented by the utility function U(F,C) = 20 * F . Food price is $10 per 2 * C 2 unit and Clothing price is $15 per unit. Income is $1000 for both of them. a) Find optimal choices of food and clothing for Erin and Bridget