Question

Mr. and Mrs. Garcia have a total of $100,000 to be invested in stocks, bonds, and a money market account. The stocks have a rate of return of 9%/year, while the bonds and the money market account pay 6%/year and 3%/year, respectively. The Garcias have stipulated that the amount invested in stocks should be equal to the sum of the amount invested in bonds and 3 times the amount invested in the money market account. How should the Garcias allocate their resources if they require an annual income of $7,500 from their investments? Give two specific options. (Let x₁, y₁, and z₁refer to one option for investing money in stocks, bonds, and the money market account respectively. Let x₂, y₂, and z₂ refer to a second option for investing money in stocks, bonds, and the money market account respectively.)

{(x₁, y₁, z₁), (x₂, y₂, z₂)} =

Answer 1