A client tell his broker in order to diversify in the bond market he wants to invest $50,000 in fiver different kinds of bonds to make annual earnings of $2,500. The table shows the five bonds he wants to invest in as well as their annual yields. The bonds are arranged in order of risk, with AAA the safest. The client wants to invest $5,000 more in AA that in A bonds The client wants to invest a total of $20,000 in the A, B, and C bonds combined. The client wants to in vest three times as much in AA bonds as in C bonds.
Bond Annual Yield
AAA 4%
AA 4.7%
A 5%
B 6%
C 8.4%
Write a system of 5 equations in standard form to represent this problem. Write the matrix equation in the form AX=B.