You are considering adding a new item to your company's line of products. The machine required to manufacture the item costs $$30,000,$ and it depreciates straightline over $4$ years. The new item would require a $$8,000$ increase in inventory and a $$6,000$ increase in accounts payable. You plan to market the items for four years and then sell the machine for $$4,000.$ You expect to sell $5,000$ items per year at a price of $$9.$ You expect manufacturing costs to be $$5$ per item and the fixed cost to be $$2,000$ per year. If the tax rate is $40\%$ and your weighted average cost of capital is $9\%$ per year, what is the net present value of selling the new item?

$$18,674$

$$22,035$

$$13,188$

$-$$$13,188$

$$15,825$