Pinnacle Investments is considering four investments. Investment $1$ will yield a net present

value $($NPV$)$ of $$16,000$; investment $2,$ an NPV of $$22,000$; investment $3,$ an NPV of $$12,000$;

and investment $4,$ an NPV of $$8,000.$ Each investment requires a certain cash outflow at the

present time: investment $1,$ $$5,000$; investment $2,$ $$7,000$; investment $3,$ $$4,000$; and investment

$4,$ $$3,000.$ Currently, $$14,000$ is available for investment.