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.
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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