Use linear programming to solve and please show all work. Based on the investment choices shown below, find the optimal mix of investments, subject to these balancing rules:

1) Average risk is below 1.9

2) No more than 50% of the portfolio in any one investment

3) At least 20% bonds (Corp + Muni)

4) Growth of at least a factor of 12

Investment Return Risk Growth Muni Bonds 6 1.3 0 Corp Bonds 8 1.5 0 5 07 1.9 15 Common Growth Stock Mutual Funds 7 1.7 8 Real Estate 15 2.7 20 177 Investment Return Risk Growth Muni Bonds 6 1.3 0 Corp Bonds 8 1.5 0 5 07 1.9 15 Common Growth Stock Mutual Funds 7 1.7 8 Real Estate 15 2.7 20 177