The revenue​ (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=32x−0.010x2    0≤x≤3200   ​(A) Find the average change in revenue if production is changed from​ 1,000 car seats to​ 1,050 car seats. ​ (B) Use the​ four-step process to find R′(x).   ​(C) Find the revenue and the instantaneous rate of change of revenue at a production level of​ 1,000 car​ seats, and interpret the results.

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...
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The revenue​ (in dollars) from the sale of x car seats for infants is given by the following function.
R(x)=32x−0.010x2   
0≤x≤3200
 
​(A) Find the average change in revenue if production is changed from​ 1,000 car seats to​ 1,050 car seats.
(B) Use the​ four-step process to find R′(x).
 
​(C) Find the revenue and the instantaneous rate of change of revenue at a production level of​ 1,000 car​ seats, and interpret the results.
 
 
 
​(A) Find the average change in revenue if production is changed from​ 1,000 car seats to​ 1,050 car seats.
____  ​(Round to one decimal place as​ needed.)
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