An investor carries an investment portfolio on a variety of stocks, bonds and other investment alternatives. Currently, an amount of $$300,000$ has become available and must be considered for new investment opportunities. The four stock options the investor is considering are stock A$,$ stock B$,$ stock C$,$ and stock D$.$ Price of stock A is $$110$ per share, stock B is $$60$ per share, stock C is $$90$ per share, and stock D is $$30$ per share. Annual returns are $14\%,9\%,8\%,$ and $10\%$ for stocks A$,$ B$,$ C$,$ and D$,$ respectively.

The risk measured per $ invested is $0\mathrm{.}11,0\mathrm{.}07,0\mathrm{.}06,$ and $0\mathrm{.}09,$ for stocks A$,$ B$,$ C$,$ and D$,$ respectively. The requirements are as follows. Annual return for the portfolio must be at least $10\%.$ No stock can account for more than $40\%$ of the total investment. The investor would like to determine the how much to invest in each stock in order to minimize the risk created from these investments