Michael$$s$,$ Inc. is analyzing two machines to determine which one it should purchase $($owning one of these machines is required by law$).$ The company requires a $14\%$ rate of return. Machine A has a cost of $$290,000,$ annual after$-$tax operating costs of $$8,000,$ and a $3-$year life. Machine B costs $$180,000,$ has annual after$-$tax operating costs of $$12,000,$ and has a $2-$year life. Whichever machine is purchased will be replaced at the end of its useful life. Which machine should Michael$$s purchase and why? $($Round your answer to whole dollars.$)$

Group of answer choices

Machine B; because its equivalent annual cost is $$199,759$

Machine A; because it will save the company about $$132,912$ a year

Machine A; because it will save the company about $$8,600$ a year

Machine B; because it will save the company about $$200,000$ a year

Machine B; because it will save the company about $$11,600$ a year