A marginally subcritical plutonium-239 core of fixed mass is being modified. Consider the following proposed changes:
I. Surround the core with a thick layer of neutron-reflecting beryllium.
II. Compress the core to twice its original density using chemical explosives.
III. Cool the core from 600K to 300K while keeping its volume constant.
IV. Replace 1% of the plutonium with boron impurity evenly mixed throughout the core.
Which combination of modifications would most effectively drive the core to a prompt supercritical state?
a) II and III only
b) I and IV only
c) I and II only
d) I, II, and III