Q91011. Step-by-step

Problem 3: Well-Behaved Indifference Curves 8: Optimization [6 Points] Consider an Individual who buys Films (F) and Books (B) with the following utility function: U(F,B) = 2F1/3BZ/3 This individual also has the following incomes (m) and prices (pp and p3): m = $30,\" = $2,p3 = $6 Given the above, the Marginal Utilities of each Films (MUF) and Books (MUg) are: MU 22F1/3 B _ 381/3 MU 2192/3 F _ 3F2/3 9. Given the above Marginal Utilities and prices to form the optimality condition for utility maximization. According to this optimality condition, what must be the ratio of Films to Books in an optimal consumption bundle? Show your work. [2 points] 10' Given your answer to 0.9, what must be the household's optimal consumption of F & B given their income (m)? Show your work. [2 points] 11. Suppose that the price of Films changed from $2 to S4. What would need to happen to the MRS according to the optimality condition in Q9 if the household wanted to keep maximizing its utility? [2 points]