A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the annual return.

The officer wants to invest at least 50% of the money in short-term issues and no more than 50% in high-risk issues. At least 30% of the funds should go into tax-free investments and at least 40% of the total annual return should be tax-free.
a. Formulate an LP model for this problem.
b. Create a spreadsheet model for this problem and solve it using Solver.
c. What is the optimalsolution?

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Annual Risk Tax-Free 9.5% 8.0% 9.0% 9.0% 9.0% Long High Low Low Short Long No Long High Short High No