Rachel has utility over apples A and bananas B. u(A, B) = AB. Rachel has 4 apples and 4 bananas. (a) What is Rachel’s utility at (4,4)? (b) What is Rachel’s marginal rate of substitution (MRS) at (4,4)? (c) A local fruiterer hears about Rachel’s preferences and offers her 3 apples in exchange for 2 bananas. Would Rachel agree to the trade? How does this square with your answer to (b)?