Purple Passion Flowers is considering a new inventory system that will cost $450,000. The system is expected to generate positive cash flows over the next four years in the amounts of $250,000 in year one, $125,000 in year two, $110,000 in year three, and $80,000 in year four. Purple Passions required rate of return is 10%. What is the discounted payback period of the project? **Show all of your calculations**