A financial manager wants to design an investment portfolio for a client. The client has $50,000 available to invest, and the planner has identified four investment options for the fund. The following requirements have been placed on the planner.

-No single option should absorb more than 40% of the fund.

-At least 60% of the fund should be invested in options that will mature within 5 years.

-The investment amount on excellent-rating options should be at least $15,000 or higher than the investment amount on good-rating options.

Set up the linear program to help this planner find the investment arrangement that can maximize this portfolio's return. Report your investment arrangement and the portfolio return.