The cost of a new machine is $ $250,000.$ The machine has a five $-$ year life and no salvage value $.$ If the cash flow each year is equal to $50$ percent of the cost of the machine $,$ calculate the payback period for the project $.2\mathrm{.}0$ years $2\mathrm{.}5$ years $3\mathrm{.}0$ years $3\mathrm{.}5$ years $4\mathrm{.}0$ years