Imagine that you work as a financial advisor. You have a client who would like to invest $$850,000$ in bonds. You have narrowed down your options to the following list:

$\backslash$table$[[$Company$,$Interest Rate,Years to Maturity,Rating$],[$Acme Chemical,$9\mathrm{.}65\%,11,1-$ Excellent$],[$DynaStar$,8\mathrm{.}50\%,10,3-$ Good$],[$Eagle Vision,$8\mathrm{.}25\%,6,4-$ Fair$],[$Micromodeling$,9\mathrm{.}75\%,10,1-$ Excellent$],[$OptiPro$,8\mathrm{.}45\%,7,3-$ Good$],[$Sabre Systems,$10\mathrm{.}00\%,13,2-$ Very Good$]]$

The interest rate describes the return of the investment as the simple interest earned over the length of the bond's life. That is$,$ if $$100$ is invested in Acme Chemical, the return at the end of the $11$ years will be$.$

$PV*r=100*0\mathrm{.}0965=$$$9\mathrm{.}65$

No more than $25\%$ of the total funds should be invested in any one investment.

At least half should be invested in long$-$term bonds that mature in ten years or more.

No more than $35\%$ of the total funds should be invested in the combination of DynaStar, Eagle Vision, and Optipro.

The last stipulation is that all $$850,000$ must be invested.