The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=32x-0.010x 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, 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.) (B) R'(x)= (C) R(1000)= R'(1000) = Interpret these results. Choose the correct answer below. W OA. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. B. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is increasing at a rate of R'(1000) dollars per seat. OC. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=32x-0.010x 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, 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.) (B) R'(x)= (C) R(1000)= R'(1000) = Interpret these results. Choose the correct answer below. W OA. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. B. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is increasing at a rate of R'(1000) dollars per seat. OC. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing
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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Transcribed Image Text:The revenue (in dollars) from the sale of x car seats for infants is given by the following function.
R(x)=32x-0.010x
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, a
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.)
(B) R'(x)=
(C) R(1000)=
C...
3¹
R'(1000)=
Interpret these results. Choose the correct answer below.
OA. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing
at a rate of R(1000) dollars per seat.
OB. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is increasing
at a rate of R'(1000) dollars per seat.
OC. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing
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