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).

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose total cost in dollars from the production of x printers is given by
C(x) = 0.0001x3 + 0.005x? + 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).
O The average rate of change of price per printer is greater when 200 to 300 printers are produced.
The average rates of change of total cost of production are equal.
The average rate of change of price per printer is greater when 300 to 700 printers are produced.
The average rate of change of total cost of production is greater when 200 to 300 printers are produced.
The average rate of change of total cost of production is greater when 300 to 700 printers are produced.
Transcribed Image Text:Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005x? + 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). O The average rate of change of price per printer is greater when 200 to 300 printers are produced. The average rates of change of total cost of production are equal. The average rate of change of price per printer is greater when 300 to 700 printers are produced. The average rate of change of total cost of production is greater when 200 to 300 printers are produced. The average rate of change of total cost of production is greater when 300 to 700 printers are produced.
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