Find the maximum profit and the number of units that must be produced and sold order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units, R(x) = 8x- 2x2, C(x)=x - 4x? + 2x + 1 The production level for the maximum profit is about units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about $. (Do not round until the final answer. Then round to the whole number as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Topic Video
Question
100%
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units.
R(x) = 8x – 2x, C(x) = x° – 4x² + 2x + 1
The production level for the maximum profit is about units.
(Do not round until the final answer. Then round to the whole number as needed.)
The profit is about $
(Do not round until the final answer. Then round to the whole number as needed.)
Enter your answer in each of the answer boxes.
MacBook Pro
G Search or type URL
esc
@
23
$
&
1
2
3
4
5
7
Q
W
E
R
T
Y
A
S
F
G
H.
J
K
*00
Transcribed Image Text:Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units. R(x) = 8x – 2x, C(x) = x° – 4x² + 2x + 1 The production level for the maximum profit is about units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about $ (Do not round until the final answer. Then round to the whole number as needed.) Enter your answer in each of the answer boxes. MacBook Pro G Search or type URL esc @ 23 $ & 1 2 3 4 5 7 Q W E R T Y A S F G H. J K *00
Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p= 200 - 0.75x. It also determines that the total cost of producing x suits is given by C(x) = 4500 + 0.5x.
a) Find the total revenue, R(x).
b) Find the total profit, P(x).
c) How many suits must the company produce and sell in order to maximize profit?
d) What is the maximum profit?
e) What price per suit must be charged in order to maximize profit?
a) R(x) =|
%3D
b) P(x) =
c)
suits
d) The maximum profit is $
e) The price per unit must be $
Enter your answer in each of the answer boxes.
MacBook Pro
G Search or type URL
esc
@
%23
24
&
1
2
4
5
6
7
レ
T.
Y.
* 00
3.
Transcribed Image Text:Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p= 200 - 0.75x. It also determines that the total cost of producing x suits is given by C(x) = 4500 + 0.5x. a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) R(x) =| %3D b) P(x) = c) suits d) The maximum profit is $ e) The price per unit must be $ Enter your answer in each of the answer boxes. MacBook Pro G Search or type URL esc @ %23 24 & 1 2 4 5 6 7 レ T. Y. * 00 3.
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
Optimization
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning