Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Textbook Question

Chapter 2.7, Problem 50E

Revenue, cost, and profit. The total cost and the total revenue (in dollars) for the production and sale of x hair dryers are given, respectively, by

C ( x ) = 5 x + 2 , 340 and R ( x ) = 40 x − 0.1 x 2 0 ≤ x ≤ 400

(A) Find the value of x where the graph of R(x) has a horizontal tangent line.
(B) Find the profit function P(x).
(C) Find the value of x where the graph of P(x) has a horizontal tangent line.
(D) Graph C(x), R(x), and P(x) on the same coordinate system for 0 ≤ x ≤ 400. Find the break-even points. Find the x intercepts of the graph of P(x).

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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Chapter 2.7, Problem 49E

Chapter 2.7, Problem 51E

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Chapter 2 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

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Solution Summary: The author explains how the graph of R(x) has a horizontal tangent line at x=200.

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