The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 20x + 11,840 and R(x) = 200x-0.4x for 0sxs 500. (A) (B) (C) 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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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 + 11,840 and R(x) = 200x -0.4x for 0sxs 500.
(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 Osxs500. 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.
O A.
OB.
Oc.
Ay
Ay
Ay
R(x)
R(x)
R(x)
Cx) Q
25000-
25000-
25000-
C(x)
19340-
Cix)
16840-
16840-
11840-
11840-
11840-
P(x)
5000-
P(x)
5000-
P(x)
5000-
0-
04
0-
250
500
250
500
250
500
What are the break-even points?
O A. (120,12634) and (315,17316)
O B. (80,13440) and (370,19240)
OC. (80,13440) and (315,19240)
Click to select your answer(s).
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 + 11,840 and R(x) = 200x -0.4x for 0sxs 500. (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 Osxs500. 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. O A. OB. Oc. Ay Ay Ay R(x) R(x) R(x) Cx) Q 25000- 25000- 25000- C(x) 19340- Cix) 16840- 16840- 11840- 11840- 11840- P(x) 5000- P(x) 5000- P(x) 5000- 0- 04 0- 250 500 250 500 250 500 What are the break-even points? O A. (120,12634) and (315,17316) O B. (80,13440) and (370,19240) OC. (80,13440) and (315,19240) Click to select your answer(s).
11840-
11840-
5000-
5000-
0-
0.
250
500
0-
250
What are the break-even points?
O A. (120,12634) and (315,17316)
B. (80,13440) and (370,19240)
O C. (80,13440) and (315,19240)
D. (80,14784) and (315,22126)
O E. (160,14784) and (315,19240)
The x-intercepts of the graph of P(x) occur at x =
(Use a comma to separate answers as needed.)
Click to select your answer(s).
Transcribed Image Text:11840- 11840- 5000- 5000- 0- 0. 250 500 0- 250 What are the break-even points? O A. (120,12634) and (315,17316) B. (80,13440) and (370,19240) O C. (80,13440) and (315,19240) D. (80,14784) and (315,22126) O E. (160,14784) and (315,19240) The x-intercepts of the graph of P(x) occur at x = (Use a comma to separate answers as needed.) Click to select your answer(s).
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