a company had nine projects under considerstion. the npv added by each project and the capital required by each project during the next two years is shown in the following table. all numbers are in millions. for example project $1$ will add $$14$ million in npv and require expenditures of $$12$ million during year $1$ and $3$ million during year $2.$ during year $1,$ $$50$ million in capital is availabke for projects and $$20$ million is available during year $2.$