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 operational 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. As with Billingham's existing products, the cost of goods for the products produced by the XC-750 is expected to be 70% of their sale price. The increased production will also require increased inventory on hand of $1 million during the life of the project, including year 0 . - 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 XC750. 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