Need help solving this using Excel QM please.

$7-20$ A winner of the Texas Lotto has decided to invest $$50,000$ per year in the stock market. Under consideration are stocks for a petrochemical firm and a public utility. Although a long$-$range goal is to get the highest possible return, some consideration is given to the risk involved with the stocks. A risk index on a scale of $110($with $10$ being the most risky$)$ is assigned to each of the two stocks. The total risk of the portfolio is found by multiplying the risk of each stock by the dollars invested in that stock.

The following table provides a summary of the return and risk:

STOCK ESTIMATED RETURN RISK INDEX

Petrochemical $12\%9$

Utility $6\%4$

The investor would like to maximize the return on the investment, but the average risk index of the investment should not be higher than $6.$ How much should be invested in each stock? What is the average risk for this investment? What is the estimated return for this investment?