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Professor Xavier is creating a budget for his recently awarded 11-year research grant. His research requires...

Professor Xavier is creating a budget for his recently awarded 11-year research grant. His research requires machinery that has an initial cost of $48,605. He will need to pay for maintenance on the machinery beginning at the end of year 3. He estimates the first year of maintenance will cost $2,679, with the maintenance costs increasing by $701 per year each subsequent year.  How much should he put in the budget today for maintenance costs? Assume he will pay maintenance until the end of the research grant. He is using a MARR of 9%.

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Professor Xavier
Particulars Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Y11 Total
Maintenance cost              -                -   2,679.00 3,380.00 4,081.00 4,782.00 5,483.00 6,184.00 6,885.00 7,586.00 8,287.00 49,347.00
PV factor at 9%          0.92          0.84           0.77           0.71           0.65           0.60           0.55           0.50           0.46           0.42           0.39
Present Value              -                -   2,068.68 2,394.48 2,652.37 2,851.35 2,999.39 3,103.54 3,170.05 3,204.41 3,211.48 25,655.75
So, he should put in $ 25,655.75 in the budget today for maintenance costs.

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