$4)$ Model $(3$marks per question$)$ and solve $(3$ marks per question$)$ the following scenarios using $$solver$$ tool in excel

Note that you must submit the excel document to get credit for this question

Ana has at most $$58,000$ to invest in securities in the form of corporate stocks. She has narrowed her choices to three groups of stocks: growth stocks that she assumes will yield a $13\%$ return $($dividends and capital appreciation$)$ within a year, speculative stocks that she assumes will yield a $9\%$ return $($mainly in capital appreciation$)$ within a year and ETFs which average at $11\%$ return per year. Determine how much she should invest in each group of stocks to maximize the return on her investments within a year if she has to invest at least $2$ times as much in growth stocks as in speculative stocks and at least three times more in ETFs as in growth stocks.

Hint: Total money is the only resource