K A The revenue (in dollars) from the sale of x car seats for infants is given by the following function. (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. 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 at a rate of R'(1000) dollars per seat. K The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=56x-0.020x² 0≤x≤2800 (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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 67CR
Question
K
A
The revenue (in dollars) from the sale of x car seats for infants is given by the following function.
(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.
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 at a rate of R'(1000) dollars per seat.
Transcribed Image Text:K A The revenue (in dollars) from the sale of x car seats for infants is given by the following function. (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. 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 at a rate of R'(1000) dollars per seat.
K
The revenue (in dollars) from the sale of x car seats for infants is given by the following function.
R(x)=56x-0.020x² 0≤x≤2800
(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.
Transcribed Image Text:K The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=56x-0.020x² 0≤x≤2800 (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.
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