Question-1: (15 points) A group of Fashionistas decide to invest 500,000.- Euros in the stocks of three companies, namely Longchamp, Coach and LVMH. The per share prices and their expected growth per year for these three companies are 60 Euros, 16% and 80 Euros, 12% and 30 Euros, 9%, respectively. These investors decided to buy twice as many shares of LVMH as of Coach and they have a goal of 14.52% growth per year. The lead investor C. Louboutin wants you to formulate this as a matrix problem and solve using row operations to find out as to how many shares of each stock they should buy.