EXAMPLE $2$ Maximizing Annual Yield

A woman has up to $$10,000$ to invest. Her broker suggests investing in two bonds, A and $B.$ Bond $A$ is a rather risky bond with an annual yield of $10\%,$ and bond $B$ is a rather safe bond with an annual yield of $7\%.$ After some consideration, she decides to invest at most $$6000$ in bond $A,$ to invest at least $$2000$ in bond $B,$ and to invest at least as much in bond $A$ as in bond B$.$ How should she invest her money in order to maximize her annual yield?

Please draw the feasible area, show the steps of the constraints, and answer the maximized annual yeild