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1. Changing future value growth rates. Sunshine Growers produces Christmas trees and is trying to determine the optimal harvest time for the trees. Trees sell for $5 per foot. The trees grow at the following rate after planted as seedlings that are 1 foot tall: first three years, 60% growth rate; second three years, 40% growth rate; all future years, 20% growth rate. The cost to maintain a tree increases each year. The first year the maintenance cost is $3.00 per tree. The maintenance costs grow at a rate of 30% per year. When is the optimal time to harvest the trees? Using a spreadsheet, calculate the revenue each year if Sunshine Growers harvests the trees that year and subtract the accumulated costs of maintenance to find the gross profit for the year. At what height (year) do the trees produce the highest gross profit?

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