$($Calculating free cash flows$)$ Spartan Stores is expanding operations with the introduction of a new distribution center. Not only will sales increase but investment in inventory will decline due to increased efficiencies in getting inventory to showrooms. As a result of this new distribution center, Spartan expects a change in EBIT of $$900,000.$ Although inventory is expected to drop from $$90,000$ to $$70,000,$ accounts receivables are expected to climb as a result of increased credit sales from $$80,000$ to $$110,000.$ In addition, accounts payable are expected to increase from $$65,000$ to $$80,000.$ This project will also produce $$300,000$ of bonus depreciation in year $1,$ and Spartan Stores is in the $21$ percent marginal tax rate. What is the project$$s free cash flow in year $1?$