Chris Co$.$ is considering replacing a machine that was purchased for $$100,000.$ The machine has a current book value of $$42,000$ and a current market value of $$20,000.$ Operating costs are $$19,000$ per year.$$ If the machine is kept four more years, its salvage value will be $$2,000.$ The potential replacement machine costs $$70,000$ and will have a $4-$year life and a $$30,000$ salvage value. The new machine is more efficient and should reduce operating cost by $50\%.$ What is the total relevant cost of purchasing the machine? $($Ignore income taxes and the time value of money.$)$

Multiple choice question.

$$108,000$

$$116,000$

$$40,000$

$$78,000$