Consider the following list of projects:

$\backslash$table$[[$Project$,$Investment $($$$),$NPV $($$$)],[A,200,000,30,000],[B,125,000,20,000],[C,175,000,10,000],[D,75,000,10,000],[E,80,000,9,000],[F,200,000,20,000],[G,50,000,4,000]]$

$($a$)$ Assuming that your capital is constrained, so that you only have $$680,000$ available to invest in projects, which projere ts should you invest in and in what order? Calculate the total NPV based on your suggestion.

$($b$)$ Assuming now that you only have $$600,000$ available to invest in projects, which projects should you invest in and in what order? Calculate the total NPV based on your suggestion.