Your company is analyzing two machines to determine which one it should purchase. Whichever machine is purchased will be replaced at the end of its useful life. The company requires a $10$ percent rate of return and uses straight$-$line depreciation to a zero book value over the life of the machine. Machine A has a cost of $$300,000,$ annual operating costs of $$42,000,$ and a $5-$year life. Machine B costs $$265,000,$ has annual operating costs of $$50,000,$ and a $4-$year life. The company currently pays no taxes. Which machine should be purchased and why? $($Hint: consider the equivalent annual cost$-$EAC of the two machines$)$

A$.$ Machine A; because it will save the company about $$8,783$ a year

B$.$ Machine A; because it will save the company about $$14,670$ a year

C$.$ Machine B; because it will save the company about $$11,482$ a year

D$.$ Machine B; because it will save the company about $$9,916$ a year

E$.$ Machine A; because it will save the company about $$12,461$ a year