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Given the following data: P 20,00o, S(n) (12,000 -2,000n), and m(t) 1,000 2,000(t) Determine the economic service life if 10%. Determine the economic service life ifi-25%. (Do by hand allow the salvage value to go negative) 3 Assume i = 0; determine the economic life mathematically (using calculus) A special-purpose machine is to be purchased at a cost of $15,000. The following table shows the expected annual operating and maintenance cost and the salvage values for each year of service. If interest is 10% what is the economic life for this machine? Operations& Maintenance Cost for Year.m(t) Year of Service Salvage Value.S(n) 2 3 4 2,000 3,000 5,000 6,000 8,000 10,000 -8,000 -5,000 -3,000