What is Elon Musk's proposed role in Trump's government efficiency initiative?

Elon Musk was proposed to lead an advisory council called 'Doge' that would exist outside the federal government to improve efficiency. Despite initial media skepticism that this was merely symbolic, Trump appears to have given Musk real authority to implement federal budget cuts. Musk's reputation for ruthlessly eliminating inefficiency makes him well-suited for this role. When he took over X (formerly Twitter), he immediately fired 80% of staff - demonstrating his willingness to make dramatic cuts. This history suggests his involvement in government operations could lead to significant reductions in bureaucratic waste rather than just producing recommendations.