Roger has $40,000 to invest and has access to three funds: (i) a "low risk" moneymarket fund returning 2% per year; (ii) a "medium risk" fund returning 4% per year;and (iii) a more speculative "high risk" fund returning 9% per year. He is risk-averseand wishes to invest no more that 20% of his capital in the high risk fund. On theother hand he wants a return of at least $2000 per year from his overall investment.