The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)=26x+18,625 and R(x) 200x-0.2x for 0 sxs 1000. (A) Find the value of x where the graph of R(x) has a horizontal tangent line Find the profit function P(x). (B) (C) Find the value of x where the graph of P(x) has a horizontal tangent line. 作
The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)=26x+18,625 and R(x) 200x-0.2x for 0 sxs 1000. (A) Find the value of x where the graph of R(x) has a horizontal tangent line Find the profit function P(x). (B) (C) Find the value of x where the graph of P(x) has a horizontal tangent line. 作
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)=26x +18,625 and R(x)-200x-0.2x² for 0≤x≤ 1000.
(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 0sxs 1000. Find the break-even points. Find the x-intercepts of the graph of P(x)
(A) R(x) has a horizontal tangent line at x =
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