Final answer:
To solve this problem, we need to set up a system of linear equations and then use the Gauss-Jordan elimination method to find the solution. The solution will indicate how the Garcias should allocate their resources.
Step-by-step explanation:
To set up the appropriate system of linear equations, we need to identify the unknown variables in this problem. Let's denote the amount invested in stocks as S, the amount invested in bonds as B, and the amount invested in the money market account as M. From the given information, we can form the following equations:
Equation 1: S + B + M = $100,000
Equation 2: M = 0.2S + 0.1B
Equation 3: 0.12S + 0.08B + 0.04M = $10,000 (representing the annual income requirement)
We can solve this system of equations using the Gauss-Jordan elimination method or any other appropriate method to find the values of S, B, and M, which will indicate how the Garcias should allocate their resources.
Learn more about Solving systems of linear equations