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Due to high demand for wood, San Lorenzo Lumber is considering buying a new timber cutting machine to add to its existing stock. The machine

Due to high demand for wood, San Lorenzo Lumber is considering buying a new timber cutting machine to add to its existing stock.

  • The machine will cost $340,000 to purchase and $20,000 for shipping and installation. Last year, the firm cleared an unused area in its timber mill to make space for the machine, at a cost of $8,000.
  • The new cutting machine will allow the company to sell an additional 140,000 pieces of wood per year, at a price of $6 per piece. Variable costs, including timber, electricity and labor, are expected to add up to 60% of sales.
  • To make best use of the new machine, the company will need to increase its inventory of timber logs by $25,000. Since the firm uses trade credit when purchasing raw timber, accounts payable will increase by $12,000.
  • The cutting machine is expected to last 4 years and will then be sold for $35,000. It falls into the 3-year MACRS class, with depreciation rates as follows:
    Year 1 2 3 4
    Depreciation rate 33% 45% 15% 7%

The firm has a marginal tax rate (federal and state) of 34%.

a.What is the free cash flow in year 1?

b.What is the free cash flow in year 2?

c.What is the free cash flow in year 3?

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