Suppose ITC Ltd$.$ wishes to invest $$14,000.$ ITC has identified four investment opportunities.

Investment $1$ requires an investment of $$5,000$ and has a present value $($a time$-$discounted value$)$ of $$8,000$; investment $2$ requires $$7,000$ and has a value of $$11,000$; investment $3$ requires $$4,000$ and has a value of $$6,000$; and investment $4$ requires $$3,000$ and has a value of $$4,000.$ Into which investments should ITC place its money so as to maximize total present value?