A student would like to buy three assets in her portfolio by targeting low-value stocks (i.e., stocks that have a low price now but are expected to grow), with a total of 100 shares/units in number, for 100 euros. The number of shares/units of asset 1, asset 2, and asset 3 are denoted by r1, 12, and 13. The unit cost of the first, second, and third asset is respectively, , 2, and 3.5 euros. 1. Write down the system of linear equations for 21, 12, and 13. 2. Do we have enough information to solve for 21, 12, and 23? Explain carefully. 3. What is the general solution? 4. There is a supplementary information "The student would like to hold eleven shares/units more of asset 1 than shares/units of asset 2". Translate this statement into an equation. 5. Using Question 4, solve the system of linear equations