The war in Ukraine has caused a deep reduction in the supply of natural gas to countries in the EU. With winter approaching, politicians are deciding what to do to help Europeans heat their homes (which often uses natural gas) and avoid freezing. Think through the following scenarios: A) What if the free market was allowed to work unimpeded? If we assume last winter was the status quo, and this winter the supply issue happened, compare the equilibrium price and quantity of natural gas as well as welfare. B) Some politicians have suggested implementing price controls on natural gas. What kind of price control would they use? Compare the effects of the price control to the free market outcome. C) Finally, what about a subsidy on natural gas for home heating? Broadly sketch how that might compare. Conclude with what the best option, in your opinion, is