Wendell$$s Donut Shoppe is investigating the purchase of a new $$40,000$ donut$-$making machine. The new machine would permit the company to reduce the amount of part$-$time help needed, at a cost savings of $$5,200$ per year. In addition, the new machine would allow the company to produce one new style of donut, resulting in the sale of $2,000$ dozen more donuts each year. The company realizes a contribution margin of $$2\mathrm{.}40$ per dozen donuts sold. The new machine would have a six$-$year useful life.

Required:

$1.$ What discount factor should be used to compute the new machine$$s internal rate of return? $($Round your answers to $3$ decimal places.$)$

$2.$ What is the new machine$$s internal rate of return? $($Round your final answer to the nearest whole percentage.$)$