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One of X Company's production machines was badly damaged recently. Unfortunately, the machine was purchased just three years earlier for $40,000. The company must

One of X Company's production machines was badly damaged recently. Unfortunately, the machine was purchased just three years earlier for $40,000. The company must either repair the machine or purchase a new machine. The estimated cost of repairing the machine is $20,000, after which operating costs will be $68,000 a year. It will also require a maintenance check in the second year that is estimated to cost $3,500. A new machine will cost $81,000, but it will be more efficient than the repaired machine, with annual operating costs of only $55,000. Both the repaired machine and the new machine will last for four years, at which time the repaired one would be worthless, and new one would be worth $7,000. If it is not repaired, the damaged machine can be sold immediately for $4,000. Assuming a discount rate of 8%, what is the net present value of buying the new machine instead of repairing the damaged machine? [Use the present value tables in the Coursepack.]

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