Pulsar also manufactures a series of 20-in. flat-tube digital televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation. p = -0.061x + 250 The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation. C(x) = 0.000008x3 - 0.08x² + 530x + 80000 (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) = Find the marginal profit function P'. P '(x) = (c) Compute the following values. (Round your answers to two decimal places.) C (1400) = R (1400) = P '(1400) =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
icon
Related questions
Question

Pulsar also manufactures a series of 20-in. flat-tube digital televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation.

p = −0.061x + 250

The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation.

C(x) = 0.000008x3 - 0.08x2 + 530x + 80000
(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) =
 
 


Find the marginal profit function P '.
P '(x) =
 
 


(c) Compute the following values. (Round your answers to two decimal places.)
C '(1400) =
R '(1400) =
P '(1400) =
Pulsar also manufactures a series of 20-in. flat-tube digital televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation.
p = -0.061x + 250
The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation.
C(x) = 0.000008x3 - 0.08x2 + 530x + 80000
(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) =
Find the marginal profit function P '.
P '(x) =
(c) Compute the following values. (Round your answers to two decimal places.)
C '(1400) =
R '(1400) =
P '(1400) =
Transcribed Image Text:Pulsar also manufactures a series of 20-in. flat-tube digital televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation. p = -0.061x + 250 The weekly total cost incurred by Pulsar for producing x sets is represented by the following equation. C(x) = 0.000008x3 - 0.08x2 + 530x + 80000 (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) = Find the marginal profit function P '. P '(x) = (c) Compute the following values. (Round your answers to two decimal places.) C '(1400) = R '(1400) = P '(1400) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Series
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 for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning