You have a total of £10,000 to invest in three different funds - Rolls-Royce, C&J and stock exchange. The expected return and risk level for each of the fund is given in the below table:

To minimize your risk across the three funds you decide to invest at least twice as much in Rolls-Royce as you invest in C&G. You also decide that as the stock exchange is considered a high-risk fund, to limit the amount you invest in this fund to £2000. 

Taking account of your decisions to minimize the risk, produce a model, and determine the optimal amount to invest in each of the three funds so as to maximize the expected return? 

What does your solution tell you about the problem?

Fund Expected Return Risk Level Rolls-Royce 6% Low C&G 7% Medium stock exchange 10% High