Marginal Cost, Revenus, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the demanded. p = 6000.09x (0 ≤ x ≤ 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in dollars) incurred in producing x sets. Find the following functions (in dollars) and compute values. C(x) = 0.000004x³ -0.03x² + 520x + 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) = Find the marginal profit function P'. P'(x) = (c) Compute the following values. (Round your answers to two decimal places.) C'(1,500) = R¹(1,500) = Activate

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 11E: Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the...
icon
Related questions
Question

Ex 3.4 Q6

Marginal Cost, Revenus, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the
demanded.
p = 6000.09x
(0 ≤ x ≤ 12,000)
The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in dollars) incurred in producing x sets. Find the following functions (in dollars) and compute
values.
C(x) = 0.000004x³ -0.03x² + 520x + 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) =
Find the marginal profit function P'.
P'(x) =
(c) Compute the following values. (Round your answers to two decimal places.)
C'(1,500) =
R¹(1,500) =
Activate
Transcribed Image Text:Marginal Cost, Revenus, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the demanded. p = 6000.09x (0 ≤ x ≤ 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in dollars) incurred in producing x sets. Find the following functions (in dollars) and compute values. C(x) = 0.000004x³ -0.03x² + 520x + 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) = Find the marginal profit function P'. P'(x) = (c) Compute the following values. (Round your answers to two decimal places.) C'(1,500) = R¹(1,500) = Activate
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning