To provide for the automation of a production process in six years, Invista is starting a sinking fund to accumulate $$800,000$ by the end of the six years. Round the sinking fund payments and the periodic interest earnings to the nearest dollar.

If the sinking fund earns $6\mathrm{.}4\%$ compounded monthly, what month end payments should be made to the fund?

In what month will the fund pass the halfway point?