Koch traded Machine $1$ for Machine $2$ when the fair market value of both machines was $$49,850.$ Koch originally purchased Machine $1$ for $$75,300,$ and Machine $1\text{'}$s adjusted basis was $$40,150$ at the time of the exchange. Machine $2\text{'}$s seller purchased it for $$64,850$ and Machine $2\text{'}$s adjusted basis was $$55,150$ at the time of the exchange. What is Koch's adjusted basis in machine $2$ after the exchange?

Multiple Choice

$$40,150$

$$49,850$

$$55,150$

$$75,300$

None of the choices are correct.