Your firm has acquired a bag of 37 pills of the cognitive-enhancing, nootropic drug called NZT-48. This has opened up four new potential projects for your firm that would not be possible with only your regular unenhanced employees' feeble meatbag brains. Each project is non-repeatable and of equal time. You have calculated the NPV of each project as well as the requested number of NZT-48 pills by each project's exploratory team: Project Codename NPV Pills Requested Commodus 14 Caligula $46, 100 $69,000 $25, 250 20 Nero 5 Elagabalus $70, 400 19 Assume that you can do partial projects whereby you can allocate less pills than the number requested by the team. This would give you a pro-rata portion of that project's NPV (.e. the amount of pills you allocate as a proportion of the number requested). The maximum total NPV your firm can achieve through allocating its 37 NZT-48 pills across these four projects is $ (Round up to the nearest dollar)