.
The cost (in dollars) of producing n units of a product is modeled
by the function C(n) = 0.05n^2 +10n + 5000
a) Find the average rate of change of C with respect to n
when the production level changes from n = 100 units to
n = 105 units and when the production level changes from
n = 100 units to n = 101 units.
b) Find the instantaneous rate of change of C with respect to n
for any number of units n.
c) Find the instantaneous rate of change of C with respect to n
when n = 100 units. Explain the meaning of your answer.
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