(a) If the price of a barrel of oil goes up by 20%, and then goes back down by 20% (of the new, raised price), will the final price of

oil (after raising and lowering) be equal to the original price of oil? If not, which will be greater, the original price or the final price? Determine the answers to the sequestions without doing any calculations. Explain your reasoning clearly. (b) Now suppose that in part (a), a barrel of oil originally cost$80. Calculate the final price of the barrel of oil after the price is raised by 20% and then lowered by 20% (from the raised price).