Dave has $$10,000$ to invest in $5$ company shares $($ANZ$.$AX$,$ WBC$.$AX$,$ TLS$.$AX$,$ AGL.AX and QAN.AX$)$ with the following restrictions. For diversification, no more than $$5,000$ can be invested in any one share. If a share is chosen for investment, then at least $$3,000$ will be invested in it$.$ Only one bank share $($either ANZ.AX or WBC$.$AX$)$ can be selected. The amount invested in QAN.AX must be at least as much as the amount invested TLS$.$AX$.$ Formulate and solve a LP model to determine the investment strategy that will maximize expected annual return.