Gita Gopinath enjoys reading monetary theory (m) and international trade (i) articles from digital libraries. Her preferences are represented by the utility function u(m, i) = min{3m, i} (a) Setup Gita Gopinath's expenditure minimization problem. (Points: 3) (b) Solve her minimization problem, and obtain the compensated demand functions and the minimized expenditure function. (Points: 6) Assume the price of an international trade article is $2, and that on an average week she cannot obtain an utility level from reading articles smaller than 96. (c) Graph her compensated demand for monetary theory articles. (Points: 3) (d) Graph her minimized expenditure function as a function of Pm. Explain why this graph is different from the previous one