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The revenue (in thousand of dollars) on spending x thousand dollars of advertisement is given by the following function : 1 R(x) = (150x? – x*); 0< x < 100 1500 a) Find the local extrema of R, if any b) Determine the interval when is R increasing & decreasing. c) Identify the point of diminishing returns.

The revenue (in thousand of dollars) on spending x thousand dollars of advertisement is given by the following function : 1 R(x) = (150x? – x*); 0< x < 100 1500 a) Find the local extrema of R, if any b) Determine the interval when is R increasing & decreasing. c) Identify the point of diminishing returns.

Calculus: Early Transcendentals
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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The revenue (in thousand of dollars) on spending x thousand dollars of advertisement is given by the following function : R(x) = (150x² – x³); 0 <x< 100 - X 1500 a) Find the local extrema of R, if any b) Determine the interval when is R increasing & decreasing. c) Identify the point of diminishing returns. d) Determine the interval when is R concave up & concave down. e) Sketch the graph. f) What is the maximum revenue?
Transcribed Image Text:The revenue (in thousand of dollars) on spending x thousand dollars of advertisement is given by the following function : R(x) = (150x² – x³); 0 <x< 100 - X 1500 a) Find the local extrema of R, if any b) Determine the interval when is R increasing & decreasing. c) Identify the point of diminishing returns. d) Determine the interval when is R concave up & concave down. e) Sketch the graph. f) What is the maximum revenue?
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