An investment broker wants to invest up to $20,000. She can purchase a type A bond yielding a 10% return on the amount invested, and she can purchase a type B bond yielding a 15% return on the amount invested. She wants to invest at least as much in the type A bond as in the type B bond. She will also invest at least $5000 in the type A bond and no more than $8000 in the type B bond. How much should she invest in each type of bond to maximize her return?
I know the equation/function would be R(return) = 0.10x + 0.15y. I also know one of the constraints on this equation is x + y <= 20,000.
What are some other constraints? I don't know how to form them with inequalities.
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