Revenue, cost, and profit. The total cost and the total rev- enue (in dollars) for the production and sale of x hair dryers are given, respectively, by oo = 40x – 0.1x² 0 < x < 400 C(x) = 5x +2,340 and R(x) - (A) Find the value of x where the graph of R(x) has a hori- zontal tangent line. nt ouv (B) Find the profit function P(x). mis (C) Find the value of x where the graph of P(x) has a horizontal tangent line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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50. Revenue, cost, and profit. The total cost and the total rev-
enue (in dollars) for the production and sale of x hair dryers
are given, respectively, by
C(x) = 5x + 2,340 and R(x) = 40x :
- 0.1x2
0 < x < 400
(A) Find the value of x where the graph of R(x) has a hori-
zontal 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 s x< 400. Find the break-even points.
Find the x intercepts of the graph of P(x).
Transcribed Image Text:50. Revenue, cost, and profit. The total cost and the total rev- enue (in dollars) for the production and sale of x hair dryers are given, respectively, by C(x) = 5x + 2,340 and R(x) = 40x : - 0.1x2 0 < x < 400 (A) Find the value of x where the graph of R(x) has a hori- zontal 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 s x< 400. Find the break-even points. Find the x intercepts of the graph of P(x).
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