A college purchased a high-speed copier for $35,000. The maintenance contract cost $2500 for the first year with an increase of $500 per year after that. The total cost of the copier and maintenance contract is C(x) = 35,000 + 2000x + 50Ox2.
a. Find the average cost of the copier per year for x years.
b. What is the average cost of the copier after 5 years? After 15 years?
c. Graph the average cost function on the interval [1, 20].
d. When should the copier be replaced?
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