Jackson Just Obtained $240,000 by Selling Mutual Funds and Is

Jackson just obtained $240,000 by selling mutual funds and is now looking for other investment opportunities for these funds. His financial consultant recommends that all new investments be made in the stocks of industries such as Agriculture, Healthcare, Banking, Manufacturing, and Real Estate. The projected annual rates of returns for the investments are as follows:
​ $$\begin{array} { | l | c | } { \text { Expected Annual Returns of the Stocks } } \\\hline \text { Stocks } & \text { Return (\%) } \\\hline \text { Agriculture } & 11 \\\hline \text { Health Care } & 6.50 \\\hline \text { Banking } & 9 \\\hline \text { Manufacturing } & 12 \\\hline \text { Real Estate } & 8.50 \\\hline\end{array}$$ ​
His consultant has set constraints on the investments based on the calculated risks involved with the industries:
1) Neither Agriculture nor Manufacturing should receive more than $100,000.
2) Neither Healthcare nor Banking should receive more than $50,000.
3) The amount invested in Manufacturing should not be more than 45 percent of the sum of the investment in Banking and Healthcare sectors.
4) The amount invested in Real Estate should be at least 20 percent of the sum of the investment in Banking and Healthcare sectors.
Develop portfolio recommendations-investments and amounts-for investing the available $240,000.