A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 100x - 0.2x, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? ), at units

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 100x - 0.2x, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? ), at units

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Related questions

Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

Q: For the function, f(x) = 9x² – x³ - a. Use the derivative to find all critical points b. Classify…

Q: Consider the function f(x) = 4 – 5x", – 3 < x < 2. - - The absolute maximum value is and this occurs…

Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

Q: For the function f(x)=x3-3x, its local maximum is which occurs at ( its local minimum is which…

Q: Find the absolute maximum value of f(x) = x² - 2x +9 over the interval [0, 5] |

A: Given problem:- Find the absolute maximum value of f(x) = x2 - 2x + 9 over the interval [0,5]

Q: Consider the function f(x) = 3 – 5x², – 5 < x < 1. - - The absolute maximum value is and this occurs…

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: Find the absolute minimum and the absolute maximum of the function on the interval [0,3]. f(x)=x^2…

Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and…

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: Find the minimum value of f (x) = 7x² – 2x + 4 on the interval (0, 1].

Q: Find the absolute maximum value for f (x) = x'e¯ on the interval [-1, 3].

A: We can find the absolute maximum value using the application of derivative as below.

Q: The function f(x) = 2x°- 36x+210x + 4 has one local minimum and one local maximum. Use a graph of…

Q: Plot f (x) = 2√x − x on [0, 4] and determine the maximum value graphically. Then verify your answer…

Q: Find the a-coordinate of the absolute maximum for the function . f(æ) = x >0. x-coordinate of…

A: The given function is f(x)=x8ex, x>0

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

Q: Find the absolute maximum value of the function f(x) = -x² – 4x – 2 on the interval [-3, 3 ]. %3D

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

Q: Find values of a and b so that the function f(x) = x + ax +b has a local minimum at the point (7, -…

Q: Find the absolute maximum value of f(x) = x2 – 2x + 10 over the interval 0, 3 -

A: Find your answer below

Q: Find the absolute maximum and absolute minimum f(x) = + x2 24x over the interval 2, 6|. -

Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Follow the procedure given below.

Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: topic - application of derivatives $9000 at 75 units

Q: Find the absolute maximum and minimum assuming the function is f(x) = 2x^4 - 8x + 3 on interval…

A: f(x)=2x4-8x+3

Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

Q: 7. Determine the absolute maximum and absolute minimum on the interval [-1, 2] for the function…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: For maximum Revenue : take the derivative of R(x) and equate to zero.

Q: For the function f(x)= x-2ln(x), 1/2 is less than or equal to x which is less than or equal to 8.…

A: Given:The function f(x) = x - 2 ln(x), the interval is

Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

Q: Find the absolute maximum values of f(x) = 2x^3 + 3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 + 3x2 + 4

Q: It is given that at x = 1, the function x4 - 62x2 + ax + 9 attains its maximum value in the interval…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

Q: Find the value of x at which the absolute minimum occurs (if it exists) for the function f(x) = -x2…

Q: Consider the function f(x) = -x/(9x^2 + 1) where 0 ≤ x ≤ 2 What is the absolute maximum ? At what x…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

Q: ve maximum or

A: Maxima and minima: Let f(x)=e3x2+4 For maxima or minima we need to find those values where f'(x)=0.…

Q: 1) Find the absolute maximum and absolute minimum for f(x) = x* – 18x² – 2 on the closed interval…

A: To find absolute maxima and absolute minima for fx=x4-18x2-2; x∈-2,4

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately R ( x…

A: Given Revenue function Rx=500x-0.02x2 Cost function Cx=120x+100,000

Q: Find the absolute minimum if exists of f(x)=6x^2 −x^3 +8 on the interval 0≤x≤4

A: Use the first and second derivative test and find the absolute minimum of function f(x).

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: At maxima or minima of a function f(x), f'(x)=0

Q: Find the absolute maximum value on (0, oo) for f(x)37-4x--

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the absolute maximum value of the function f(x) = x - ex

A: Given:fx=x-ex

Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

Q: Find the absolute maximum and minimum values of f(x)= 1/4x^4 -x^3 on the closed interval [ -1, 4].

Q: Find the absolute maximum value of f(x)=(x)(x-1)(x+1) on the interval [-1,1].

A: Definition used - Absolute maximum value of function - First we equate the first derivative of…

Question

100%

Please fill in the blank, cirlce your answer and write neatly for a thumbs up

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) =
100x – 0.2x, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to
obtain this maximum?
$
, at
units

Expert Solution

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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.