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A firm considers to buy a machine in 2022. The cost of the machine is $ 3 000 000 which will be paid in 2022. The economic lifetime of the machine is 5 years (the machine will generate cashflows for the firm starting in 2023). The firm estimates that the new machine will increase the sales revenue of the firm by $ 1 500 000 in each of the next 5 years. The COGS is estimated to be 40% of the sales revenue. The general and administrative costs are estimated to be 10% of the sales revenue. The firm uses 5-year straight line depreciation and is allowed to write off $ 600 000 depreciation expense in each of the next 5 years. The firm is subject to a 20% tax rate. The firm also estimates that the new machine will lead to a $ 50 000 increase in inventories, $ 70 000 increase in accounts receivables and $20 000 increase in accounts payables receivables in 2023. There will be no change in NOWC (net operating working capital) in 2024 and 2025. Some of the items in inventories will be sold and some account receivables will be collected in 2026 leading to a $ 40 000 decrease in NOWC in 2026. The NOWC will further decline by $ 60 000 in 2027. The firm also estimates that this machine can be sold by the end of 2027 at a salvage value of $ 500 000. Given all this information A) Calculate the operating cash flow of this machine for 2023, 2024, 2025, 2026 and 2027. (30 pts) B) Calculate the estimated free cash flow of this machine for 2022, 2023, 2024, 2025, 2026 and 2027. (50 pts.) C) Calculate the Net PV of this project using a 20% discount rate and decide if buying this machine is a feasible investment (20 pts.)