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The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=56x-0.020x 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. (B) R'(x)=56-0.040x (C) R(1000)=36000 R'(1000) 14

The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=56x-0.020x 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. (B) R'(x)=56-0.040x (C) R(1000)=36000 R'(1000) 14

Calculus For The Life Sciences
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 8CR
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The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=56x-0.020x 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. (B) R'(x)=56-0.040x (C) R(1000)=36000 R'(1000) 14
Transcribed Image Text:The revenue (in dollars) from the sale of x car seats for infants is given by the following function. 2 R(x)=56x-0.020x 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. (B) R'(x)=56-0.040x (C) R(1000)=36000 R'(1000) 14
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