Chris Corry has a company-sponsored retirement plan at a major brokerage firm. He has the following funds available:
His financial advisor has suggested that at most 40% of the portfolio should be composed of high-risk funds. At least 25% should be invested in bond funds, and at most 40% can be invested in any single fund. At least six funds should be selected, and if a fund is selected, it should be funded with at least 5% of the total contribution. Develop and solve an integer optimization model to determine which funds should be selected and what percentage of his total investment should be allocated to each fund.