You are evaluating a proposed acquisition of a new machine costing $$50,000.$ While the machine is expected to last for $5$ years, it falls into the MACRS $3-$year class. Purchase of the machine would require an increase of net operating working capital of $$2,000.$ The machine would increase the firm's revenue by $$16,000$ per year and its operating costs by $$8,000$ per year. The firm's marginal tax rate is $22$ percent, and the project's cost of capital is $14$ percent. What is the operating cash flow in Year $3?$ MACRS $3-$year schedule is as follows: $33\%,45\%,15\%,$ and $7\%$ for years $1$ to $4,$ respectively.

Question $11$ options:

$$7,150$

$$7,460$

$$7,620$

$$7,890$

$$8,090$

$$8,270$