Solve the Linear Programming Problem $\$ 40,000$ In Corporate and Municipal Bonds

Multiple Choice

Solve the linear programming problem.
-Zach is planning to invest up to $\$ 40,000$ in corporate and municipal bonds. The least he will invest in corporate bonds is $\$ 9000$ and he does not want to invest more than $\$ 29,000$ in corporate bonds. He also does not want to invest more than $\$ 29,731$ in municipal bonds. The interest is $8 \%$ on corporate bonds and $6.5 \%$ on municipal bonds. This is simple interest for one year. What is the maximum income?

A) $\$ 32,035$
B) $\$ 3035$
C) $\$ 14,035$
D) $\$ 19,605$