The Mike $-$ Milk Company just received extra cash from a lawsuit in the amount of $ $500,000.$ They want your assistance in developing an investment portfolio. They are interested in the investment opportunities below.

Investment Opportunities$[$Investment$,$ Project rate of return $(\%)]$

$[$ Best Real Estate, $14\mathrm{.}2\%]$

$[$We R Real Estate,$9\mathrm{.}6\%]$

$[$Can Beat Us Health, $8\mathrm{.}2\%]$

$[$Doing It Right Health, $6\mathrm{.}7\%]$

$[$ State Bonds, $3\mathrm{.}9\%]$

The Mike $-$ Milk Company also wants to stay within the investment parameters below

Neither industry $($real estate nor healthcare$)$ should receive more than $$275,000.$

State bonds should be at least $30\%$ of the real estate.

The investment in Cant Beat Us Health should not be more than $55\%$ of the total healthcare investment. $($Note: a high return also means high risk$)$