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 300 to 500 printers. (b) Find the average rate of change of total cost when production changes from 500 to 600 printers. (c) Interpret the results from parts (a) and (b). O The average rate of change of price per printer is greater when 300 to 500 printers are produced. O The average rate of change of total cost of production is greater when 500 to 600 printers are produced. O The average rates of change of total cost of production are equal. O The average rate of change of price per printer is greater when 500 to 600 printers are produced. O The average rate of change of total cost of production is greater when 300 to 500 printers are produced.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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 300 to 500 printers.
(b) Find the average rate of change of total cost when production changes from 500 to 600 printers.
(c) Interpret the results from parts (a) and (b).
O The average rate of change of price per printer is greater when 300 to 500 printers are produced.
O The average rate of change of total cost of production is greater when 500 to 600 printers are produced.
O The average rates of change of total cost of production are equal.
O The average rate of change of price per printer is greater when 500 to 600 printers are produced.
O The average rate of change of total cost of production is greater when 300 to 500 printers are produced.
Transcribed Image Text:Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x³ + 0.005x²+28x + 3000. (a) Find the average rate of change of total cost when production changes from 300 to 500 printers. (b) Find the average rate of change of total cost when production changes from 500 to 600 printers. (c) Interpret the results from parts (a) and (b). O The average rate of change of price per printer is greater when 300 to 500 printers are produced. O The average rate of change of total cost of production is greater when 500 to 600 printers are produced. O The average rates of change of total cost of production are equal. O The average rate of change of price per printer is greater when 500 to 600 printers are produced. O The average rate of change of total cost of production is greater when 300 to 500 printers are produced.
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