Billingham Packaging is considering expanding its production capacity by purchasing a newmachine, theXC-750. The cost of theXC-750 is $ 2.85

$2.85 million.Unfortunately, installing this machine will take several months and will partially disrupt production. The firm has just completed a $ 45 comma 000

$45,000 feasibility study to analyze the decision to buy theXC-750, resulting in the followingestimates:

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Marketing: Once theXC-750 is operational nextyear, the extra capacity is expected to generate $ 10.05

$10.05 million per year in additionalsales, which will continue for the10-year life of the machine.

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Operations: The disruption caused by the installation will decrease sales by $ 5.04

$5.04 million this year. As withBillingham's existingproducts, the cost of goods for the products produced by theXC-750 is expected to be 71 %

71% of their sale price. The

increased production will also require increased inventory on hand of $ 1.08

$1.08 million during the life of theproject, including year 0.

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HumanResources: The expansion will require additional sales and administrative personnel at a cost of $ 1.99

$1.99 million per year.

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Accounting: TheXC-750 will be depreciated via thestraight-line method over the10-year life of the machine. The firm expects receivables from the new sales to be 14 %

14% of revenues and payables to be 10 %

10% of the cost of goods sold.Billingham's marginal corporate tax rate is 35 %

35%.

a. Determine the incremental earnings from the purchase of theXC-750.

b. Determine the free cash flow from the purchase of theXC-750.

c. If the appropriate cost of capital for the expansion is 10.4 %

10.4%, compute the NPV of the purchase.

d. While the expected new sales will be $ 10.05

$10.05 million per year from theexpansion, estimates range from $ 7.95

$7.95 million to$ 12.15

$12.15 million. What is the NPV in the worstcase? In the bestcase?

e. What is thebreak-even level of new sales from theexpansion? What is the breakeven level for the cost of goodssold?

f. Billingham could instead purchase theXC-900, which offers even greater capacity. The cost of theXC-900 is $ 4.04

$4.04 million. The extra capacity would not be useful in the first two years ofoperation, but would allow for additional sales in years 3 through 10. What level of additional sales(above the $ 10.05

$10.05 million expected for theXC-750) per year in those years would justify purchasing the largermachine?