Billingham Packaging is considering expanding its production capacity by purchasing a new machine, the XC-750. The cost of the XC-750 is $2.75 million. Unfortunately, installing this machine will take several months and will partially disrupt production. The firm has just completed a $50,000 feasibility study to analyze the decision to buy the XC-750, resulting in the following estimates:Marketing: Once the XC-750 is operating next year, the extra capacity is expected to generate $10 million per year in additional sales, which will continue for the 10-year life of the machine. Operations: The disruption caused by the installation will decrease sales by $5 million this year. Once the machine is operating next year, the cost of goods for the products produced by the XC-750 is expecte4d to be 70% of their sales price. The increase production will require additional inventory on hand of $1 million to be added in year 0 and depleted in year 10.Human Resources: The expansion will require additional sales and administrative personnel at a cost of $2 million per year. Accounting: The XC-750 will be depreciated via the straight-line method over the 10-year life of the machine. The firm expects receivables from the new sales to be 15% of revenues and payables to be 10% of the cost of goods sold. Billingham’s marginal corporate tax rate is 35%.a. Determine the incremental earnings from the purchase of the XC-750?b. Determine the free cash flow from the purchase of the XC-750?c. If the appropriate cost of capital for the expansion is 10%, compute the NPV of the purchase. d. While the expected sales will be $10 million per year from the expansion, estimates range from $8 million to $12 million. What is the NPV in the worst case? In the best case?e. What is the break-even level of new sales from the expansion? What is the break-even level for the cost of goods sold?f. Billingham could instead purchase the XC-900, which offers greater capacity. The cost of the XC-900 is $4 million. The extra capacity would not be useful in the first two years of operation, but would allow for additional sales in years 3-10. What level of additional sales (above the $10 million expected for the XC-750) per year in those years would justify purchasing the larger machine?