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 200 to 300 printers. (b) Find the average rate of change of total cost when production changes from 300 to 700 printers. (c) Interpret the results from parts (a) and (b).

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A:

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A: To calculate the marginal revenue by differentiating the revenue function.

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Q: snip

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A:

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Q: average rate of change

A:

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Q: How may I get the average rate of change for this problem?

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Q: compute the average rate of change (AROC) of f(x)=2x2 - 3 from x=-1 to x=2

A: The average rate of change (AROC) of f(x)=2x2 - 3 from x=-1 to x=2 is given by:

Q: Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2…

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

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Exponential Growth Model

The relation that represents an exponential function is: