A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1sxs20. ... (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. P(x) = (Type your answer in standard form.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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Question

20.

A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the
cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in millions of chips
and R(x) and C(x) are in millions of dollars. Both functions have domain 1sxs20.
....
(A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate
system.
P(x) =
(Type your answer in standard form.)
Transcribed Image Text:A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1sxs20. .... (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. P(x) = (Type your answer in standard form.)
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

20

A company manufactures microchips. Use the revenue function R(x) = x(72 – 3x) and the cost function C(x) = 121 + 13x to answer parts (A) through (D), where x is in
millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤x≤ 20.
(A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system.
P(x) =
(Type your answer in standard form.)
Transcribed Image Text:A company manufactures microchips. Use the revenue function R(x) = x(72 – 3x) and the cost function C(x) = 121 + 13x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤x≤ 20. (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. P(x) = (Type your answer in standard form.)
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Follow-up Question

20 please answer the c

A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in
millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤x≤20.
(A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system.
2
P(x) = -3x² +57x-124
(Type your answer in standard form.)
Which graph below shows R(x), C(x), and P(x)? The blue, dashed curve represents R; the pink line represents C; and the green, solid curve represents P.
O A.
O B.
y
440-
440-
440-
440-
X
X
X
X
0-
0-
0-
20
0
20
0
20
(B) Discuss the relationship between the intersection points of the graphs of R and C and the x intercepts of P.
The x-values of the intersection points of R and C are
equal
to the x-intercepts of P.
(C) Find the x intercepts of P to the nearest thousand chips. Find the break-even points to the nearest thousand chips.
The x-intercepts of P occur at x =
million chips.
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
y
Ау
17
0-
0
20
17
Transcribed Image Text:A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤x≤20. (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. 2 P(x) = -3x² +57x-124 (Type your answer in standard form.) Which graph below shows R(x), C(x), and P(x)? The blue, dashed curve represents R; the pink line represents C; and the green, solid curve represents P. O A. O B. y 440- 440- 440- 440- X X X X 0- 0- 0- 20 0 20 0 20 (B) Discuss the relationship between the intersection points of the graphs of R and C and the x intercepts of P. The x-values of the intersection points of R and C are equal to the x-intercepts of P. (C) Find the x intercepts of P to the nearest thousand chips. Find the break-even points to the nearest thousand chips. The x-intercepts of P occur at x = million chips. (Use a comma to separate answers as needed. Round to three decimal places as needed.) y Ау 17 0- 0 20 17
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Follow-up Question

20b pleasw answer B

A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both
functions have domain 1sx<20.
%3D
(A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system.
Р(x) %3D — 3х + 57х- 124
(Type your answer in standard form.)
Which graph below shows R(x), C(x), and P(x)? The blue, dashed curve represents R; the pink line represents C; and the green, solid curve represents P.
OA.
В.
O D.
y
440-
Ay
440-
y
440–
y
440-
17
0-
0-
0-4
0-
20
20
20
20
Transcribed Image Text:A company manufactures microchips. Use the revenue function R(x) = x(72 - 3x) and the cost function C(x) = 124 + 15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1sx<20. %3D (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. Р(x) %3D — 3х + 57х- 124 (Type your answer in standard form.) Which graph below shows R(x), C(x), and P(x)? The blue, dashed curve represents R; the pink line represents C; and the green, solid curve represents P. OA. В. O D. y 440- Ay 440- y 440– y 440- 17 0- 0- 0-4 0- 20 20 20 20
Solution
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