Sofia consumes only clothes (good x) and books (good y). Her utility function is given by U (x, y) = 3x + 2y. Sofia's girlfriend, Jingshuang, shares her passion for fashion and reading; her utility function is V (x, y) = min(x, y}. The owner of the store where Jingshuang buys clothes and books offers a special deal: customers who buy x pieces of clothing get the same number of books for free. Customers can buy additional books at py per book. Find Jingshuang's new expenditure minimising bundle and the corresponding expenditure- minimising function Ex(px, py, U). Excited about this offer, Jingshuang calls Sofia to tell her. Find Sofia's expenditure-minimising function Ex(px, py, V ) with the special deal of this store