(c) Sofia's girlfriend, Jingshuang, shares her passion for fashion and reading; her utility function is V(x, y) = min {x, y}. (c.1) Find the expenditure-minimising bundle (x, y) as a function of the prices Px, Py, and the target utility V. Find the corresponding expenditure-minimising function E* (Px, Py, V) (3 marks) (c.2) The owner of the store where Jingshuang buys clothes and books offers a special deal: customers who buy a 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 E* (Px, Py, U). (2 marks) (d) Excited about this offer, Jingshuang calls Sofia to tell her. Find Sofia's expenditure-minimising function E*(Px, Py, V) with the special deal of this store. (7 marks)