# Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2 + 28x + 3000.(a) Find the average rate of change of total cost when production changes from 100 to 200 printers.(b) Find the average rate of change of total cost when production changes from 200 to 500 printers.(c) Interpret the results from parts (a) and (b).

Question

Suppose total cost in dollars from the production of x printers is given by
C(x) = 0.0001x3 + 0.005x2 + 28x + 3000.
(a) Find the average rate of change of total cost when production changes from 100 to 200 printers.

(b) Find the average rate of change of total cost when production changes from 200 to 500 printers.

(c) Interpret the results from parts (a) and (b).

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Step 1

average rate of change of cost between point [a,b] is given by

Step 2

Step 3

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