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The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 20x+ 42,560 and R(x) = 200x-0.1x for 0sxs 2000. (A) (B) (C) (D) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs2000. Find the break-even points. Find the x-intercepts of the graph of P(x).

The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 20x+ 42,560 and R(x) = 200x-0.1x for 0sxs 2000. (A) (B) (C) (D) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs2000. Find the break-even points. Find the x-intercepts of the graph of P(x).

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)= 20x+42,560 and R(x)= 200x-0.1x- for 0sxs2000. %3D (A) (B) (C) (D) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs2000. 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 = (B) The profit function P(x) = (C) P(x) has a horizontal tangent line at x = (D) Choose the correct graph of C(x), R(x), and P(x) graphed together. A. O B. C. 100000- Rpx) Ro) Rx) 100000- 100000- Cox) 72560- 62560- 62560- 42560- 42560- 42560- 20000- P(X 20000- P(x) 20000- 0- 0- 0- 1000 2000 1000 2000 1000 2000 What are the break-even points?
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)= 20x+42,560 and R(x)= 200x-0.1x- for 0sxs2000. %3D (A) (B) (C) (D) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs2000. 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 = (B) The profit function P(x) = (C) P(x) has a horizontal tangent line at x = (D) Choose the correct graph of C(x), R(x), and P(x) graphed together. A. O B. C. 100000- Rpx) Ro) Rx) 100000- 100000- Cox) 72560- 62560- 62560- 42560- 42560- 42560- 20000- P(X 20000- P(x) 20000- 0- 0- 0- 1000 2000 1000 2000 1000 2000 What are the break-even points?
The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)= 20x+ 42,560 and R(x) = 200x-0.1x for 0sxs2000. (A) (B) (C) (D) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs2000. Find the break-even points. Find the x-intercepts of the graph of P(x). EAL Rox) Ro) Roc) 100000- 100000- 100000- 72560- 62560- 62560- 42560- 42560- 42560- P(X) P(X) 20000- 20000- 20000- 0- 0- 1000 2000 1000 2000 1000 2000 What are the break-even points? O A. (280,48160) and (1292,72960) O B. (280,52976) and (1292,83904) O C. (280,48160) and (1520,72960) O D. (420,45270) and (1292,65664) O E. (560,52976) and (1292.72960) The x-intercepts of the graph of P(x) occur at x = (Use a comma to separate answers as needed.)
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)= 20x+ 42,560 and R(x) = 200x-0.1x for 0sxs2000. (A) (B) (C) (D) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0sxs2000. Find the break-even points. Find the x-intercepts of the graph of P(x). EAL Rox) Ro) Roc) 100000- 100000- 100000- 72560- 62560- 62560- 42560- 42560- 42560- P(X) P(X) 20000- 20000- 20000- 0- 0- 1000 2000 1000 2000 1000 2000 What are the break-even points? O A. (280,48160) and (1292,72960) O B. (280,52976) and (1292,83904) O C. (280,48160) and (1520,72960) O D. (420,45270) and (1292,65664) O E. (560,52976) and (1292.72960) The x-intercepts of the graph of P(x) occur at x = (Use a comma to separate answers as needed.)
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