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ABC Metalworks wants to determine which model sheet-cutter to purchase. Three choices are available: machine 1 costs the least, but must be replaced the most

ABC Metalworks wants to determine which model sheet-cutter to purchase. Three choices are available: machine 1 costs the least, but must be replaced the most frequently; machine 2 has average cost and average lifespan; machine 3 costs the most, but needs only infrequent replacement. Assume that all three machines meet production quality and volume standards; that annual maintenance is inversely proportional to the purchase price (that is, the cheaper machine requires higher maintenance); and that machine replacement, being instantaneous, will not disrupt production.

Machine 1

Machine 2

Machine 3

Initial cost

2,000

3,200

4,500

Annual maintenance

400

300

200

Lifespan

2 years

3 years

4 years

  1. Under a flat discount rate assumption of 5 per cent per year, calculate the NPV for each machine.
  2. Which machine makes the most sense for cost-efficient production?
  3. How does your answer to part b change under a flat 6 per cent discount rate assumption? Why?

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