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The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 15x-0.002x. a. Find the average rate of change in revenue as x changes from 1004 to 1007. b. Find the marginal revenue at x= 3500. %3D a. The average rate of change in revenue is 10,978 dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The marginal revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.)

The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 15x-0.002x. a. Find the average rate of change in revenue as x changes from 1004 to 1007. b. Find the marginal revenue at x= 3500. %3D a. The average rate of change in revenue is 10,978 dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The marginal revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 15x- 0.002x. a. Find the average rate of change in revenue as x changes from 1004 to 1007. b. Find the marginal revenue at x = 3500. a. The average rate of change in revenue is 10,978 dollars per (Do not round until the final answer. Then round to the nearest dollar as needed.) unit. b. The marginal revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.)
Transcribed Image Text:The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 15x- 0.002x. a. Find the average rate of change in revenue as x changes from 1004 to 1007. b. Find the marginal revenue at x = 3500. a. The average rate of change in revenue is 10,978 dollars per (Do not round until the final answer. Then round to the nearest dollar as needed.) unit. b. The marginal revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.)
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