MY NOTES ASK YOUR TEA Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is r to the wholesale unit price p by the following equation. p = -0.007x + 170 The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values. C(x) = 0.000001x - 0.02x + 130x + 75,000 (a) Find the revenue function R. R(x) = Find the profit function P. P(x) = (b) Find the marginal cost function C'. C'(x) = Find the marginal revenue function R'. R'(x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
icon
Concept explainers
Topic Video
Question
Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is re
to the wholesale unit price p by the following equation.
車
MY NOTES
ASK YOUR TEA
..
p=-0.007x + 170
The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.
C(x) = 0.000001x - 0.02x + 130x + 75,000,
(a) Find the revenue function R.
R(x) =
Find the profit function P.
P(x) =
(b)
) Find the marginal cost function C'.
C'(x) =
Find the marginal revenue function R'.
R'(x) =
%3D
Find the marginal profit function P'.
P'(x) =
(c) Compute the following values. (Round your answers to two decimal places.)
C'(1,000) =
R'(1,000)
%3D
P'(1,000) =
C (in millions)
(d) Sketch C(x).
C (in millions)
C (in millions)
1.2
1.2
MacBook Air
Transcribed Image Text:Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is re to the wholesale unit price p by the following equation. 車 MY NOTES ASK YOUR TEA .. p=-0.007x + 170 The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values. C(x) = 0.000001x - 0.02x + 130x + 75,000, (a) Find the revenue function R. R(x) = Find the profit function P. P(x) = (b) ) Find the marginal cost function C'. C'(x) = Find the marginal revenue function R'. R'(x) = %3D Find the marginal profit function P'. P'(x) = (c) Compute the following values. (Round your answers to two decimal places.) C'(1,000) = R'(1,000) %3D P'(1,000) = C (in millions) (d) Sketch C(x). C (in millions) C (in millions) 1.2 1.2 MacBook Air
A webassign.net
C (in millions)
C (in millions)
C (in millions)
1.2
1.2
1.2
0.8
0.8
0.8
0.4
0.4
0.4
x (in thousands)
10
x (in thousands)
10
x (in thousands)
10
-0.4
2 4
6 8.
2.
4
6.
8
-0.4
-0.4
2 4 6
8
C (in millions)
1.2
0.8
0.4
- x (in thousands)
2
4
8.
10
-0.4
Sketch R(x).
R (in millions)
R (in millions)
R (in millions)
2.4
2.4
2.4
2.0
2.0
2.0
1.6
1.6
1.6
1.2
1.2
0.8
0.4
1.2
0.8
0.8
0.4
x (in thousands)
0.4
x (in thousands)
+ x (in thousands)
5 10 15 20 25 30 35 40 45
5 10 15 20 25 30 35 40 45
5 10 15 20 25 30 35 40 45
R (in millions)
2.4
2.0
1.6
1.2
0.8
0.4
x (in thousands)
5 10 15 2025 30 35 4045
P (in millions)
Sketch P(x).
P (in millions)
500
P (in millions)
500|
400
500|
400
400
MacBook Alr
F12
F11
F10
F9
F8
F7
F6
F5
Transcribed Image Text:A webassign.net C (in millions) C (in millions) C (in millions) 1.2 1.2 1.2 0.8 0.8 0.8 0.4 0.4 0.4 x (in thousands) 10 x (in thousands) 10 x (in thousands) 10 -0.4 2 4 6 8. 2. 4 6. 8 -0.4 -0.4 2 4 6 8 C (in millions) 1.2 0.8 0.4 - x (in thousands) 2 4 8. 10 -0.4 Sketch R(x). R (in millions) R (in millions) R (in millions) 2.4 2.4 2.4 2.0 2.0 2.0 1.6 1.6 1.6 1.2 1.2 0.8 0.4 1.2 0.8 0.8 0.4 x (in thousands) 0.4 x (in thousands) + x (in thousands) 5 10 15 20 25 30 35 40 45 5 10 15 20 25 30 35 40 45 5 10 15 20 25 30 35 40 45 R (in millions) 2.4 2.0 1.6 1.2 0.8 0.4 x (in thousands) 5 10 15 2025 30 35 4045 P (in millions) Sketch P(x). P (in millions) 500 P (in millions) 500| 400 500| 400 400 MacBook Alr F12 F11 F10 F9 F8 F7 F6 F5
Expert Solution
steps

Step by step

Solved in 4 steps with 37 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage