The primary difference between the analysis of a for$-$profit and not$-$for$-$profit purchase or lease decision is:

for$-$profits discount cash flows and not$-$for$-$profits do not.

for$-$profits pay taxes and not$-$for$-$profits do not.

for$-$profits include the purchase price in their analysis and not$-$for$-$profits do not.

All of these are differences in the purchase or lease analysis.