Bernie’s Mowing Service purchased a new riding mower for $5600 plus a maintenance agreement costing $100 for the first year and an additional $20 per year for each year after that. The total cost of the mower and maintenance agreement for x years is C(x) = 5600 + 70x + 30x2.
a. Find the average cost of the mower per year for x years.
b. What is the average cost of the mower after 10 years? After 30 years?
c. Graph the average cost function over the interval [1, 40].
d. When should Bernie replace the mower?
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