The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 20x +23,680 and R(x) = 200x-0.2x2 for 0sxs1000. Find the value of x where the graph of R(x) has a horizontal tangent line. (A) Find the profit function P(x). (B) Find the value of x where the graph of P(x) has a horizontal tangent line. (C) (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).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost 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 + 23,680 and
R(x) = 200x – 0.2x? for 0 sxs1000.
(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 = 500.
(B) The profit function P(x) =-0.2x + 180x - 23680
(C) P(x) has a horizontal tangent line at x= 450
(D) Choose the correct graph of C(x), R(x), and P(x) graphed together.
OA.
O B.
Oc.
AY
50000-
R(x)
50000-
Em) Q
R(x)
50000-
33680-
38680-
33680-
23680-
23680-
23680-
10000-
P(X)
10000-
P(X)
10000-
of
0-
500
1000
500
1000
500
1000
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 + 23,680 and R(x) = 200x – 0.2x? for 0 sxs1000. (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 = 500. (B) The profit function P(x) =-0.2x + 180x - 23680 (C) P(x) has a horizontal tangent line at x= 450 (D) Choose the correct graph of C(x), R(x), and P(x) graphed together. OA. O B. Oc. AY 50000- R(x) 50000- Em) Q R(x) 50000- 33680- 38680- 33680- 23680- 23680- 23680- 10000- P(X) 10000- P(X) 10000- of 0- 500 1000 500 1000 500 1000
What are the break-even points?
O A. (160,26880) and (740,38480)
O B. (320,29568) and (629,38480)
C. (160,29568) and (629,44252)
O D. (240,25267) and (629,34632)
O E. (160,26880) and (629,38480)
The x-intercepts of the graph of P(x) occur at x =
(Use a comma to separate answers as needed.)
Transcribed Image Text:What are the break-even points? O A. (160,26880) and (740,38480) O B. (320,29568) and (629,38480) C. (160,29568) and (629,44252) O D. (240,25267) and (629,34632) O E. (160,26880) and (629,38480) The x-intercepts of the graph of P(x) occur at x = (Use a comma to separate answers as needed.)
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