Suppose we wish to invest $$14,000,$ and we have identified four investment opportunities:$$ Investment $1$ requires an investment of $$5,000$ and has a present value of $$8,000$ Investment $2$ requires an investment of $$7,000$ and has a present value of $$11,000$ Investment $3$ requires an investment of $$4,000$ and has a present value of $$6,000$ Investment $4$ requires an investment of $$3,000$ and has a present value of $$4,000$ How do we allocate our budget to maximize our total present value? What about additional constraints?$1.$ We can only make $2$ investments$2.$ If investment $2$ is made, investment $4$ must also be made$3.$ If Investment $1$ is made, investment $3$ cannot be made. Create python code for this problem's solution.