A firm considers to buy a machine in 2023 . The cost of the machine is $3000 000 which will be paid in 2023 . The economic lifetime of the machine is 5 years (the machine will generate cashflows for the firm starting in 2024). The firm estimates that the new machine will increase the sales revenue of the firm by $ 1500000 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 \$ 50000 increase in inventories, $70000 increase in accounts receivables and $20000 increase in accounts payables receivables in 2024 . There will be no change in NOWC (net operating working capital) in 2025 and 2026. Some of the items in inventories will be sold and some account receivables will be collected in 2027 leading to a $40000 decrease in NOWC in 2027. The NOWC will further decline by $60000 in 2028 . The firm also estimates that this machine can be sold by the end of 2028 at a salvage value of $500000. Given all this information A) Calculate the operating cash flow of this machine for 2024, 2025, 2026, 2027 and 2028. (30 pts) B) Calculate the estimated free cash flow of this machine for 2023, 2024, 2025, 2026, 2027 and 2028. (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.)