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.
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.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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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)=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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