$9\mathrm{.}3.$ A process heat recovery study identifies five potential modifications, none of which are mutually exclusive, with the costs and energy savings given below.

$\backslash$table$[[$Project$,$Capital Cost $($MM$$),$Fuel Savings $($MMBtu$/$hr$)],[$A$,1\mathrm{.}5,15],[$B$,0\mathrm{.}6,9],[$C$,1\mathrm{.}8,16],[$D$,2\mathrm{.}2,17],[$E$,0\mathrm{.}3,8]]$

If fuel costs $$\frac{6}{M}MB$ tu and the plant operates for $350$ days$/$year$,$ which projects have a simple payback period less than one year?

What is the maximum $10-$year NPV that can be achieved with a $15\%$ interest rate and a $35\%$ tax rate? Assume all the projects can be built immediately, and use MACRS depreciation with a five$-$year recovery term. What combination of projects is selected to meet the maximum NPV$?$