Ashley has earmarked at most $210,000 for investment in threemutual funds: x dollars in a money market fund, y dollars in aninternational equity fund, and z dollars in a growth-and-incomefund. The money market fund has a rate of return of 4%/year, theinternational equity fund has a rate of return of 6%/year, and thegrowth-and-income fund has a rate of return of 15%/year. Ashley hasstipulated that no more than 30% of her total portfolio should bein the growth-and-income fund and that no more than 55% of hertotal portfolio should be in the international equity fund. Tomaximize the return on her investment P (in dollars), how muchshould Ashley invest in each type of fund?
| Maximize | | P | = | | subject to the constraints |
| total investments | | | | x+y+z?210000 |
| growth-and-income percentage | | | | ?3x/10??3y/10?+7z/10??0 |
| international equity percentage | | | | |
