Producing plutonium involves irradiating U-238 with neutrons, typically within a nuclear reactor, followed by separation of the plutonium. The discussion centers on calculating the time required to produce 20 kg of Pu-239 using a portable neutron generator emitting 14 MeV neutrons. The key factors include the amount of U-238 available and its arrangement relative to the neutron source, as well as the assumption that all neutrons are absorbed by U-238. The calculations involve using Avogadro's number to determine the total number of neutrons needed based on the desired plutonium mass. The process is complex, but with the right assumptions and calculations, it can be approached systematically.