If the profit for producing x units can be approximated by the functionP(x) = 0.002x³ + 100x, determine the marginal profit (profit per item), in dollars, for 50units.$15$5250$250$115

Answered: Image /qna-images/answer/f7420ba7-284d-4613-b39d-e333694a01e6.jpg

Answered: If the profit for producing x units can…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

I am making a mistake somewhere in working this problem out... Please help So I can update my notes.
The cost C (in dollars) of producing x units and the revenue R (in dollars) obtained by selling x units are shown in the figure. y 300 000 R 250 000 200 000 150000 100 000 50 000 X 1000 2000 3000 4000 5000
It costs a coat manufacturer $8750 to make 125 coats and it costs $6500 to make 80 coats. Each coat is sold for $300. a. How much is the marginal cost? Round to two decimal places if rounding is necessary. b. What is the slope of the Profit function, P(x)? Round to two decimal places if rounding is necessary. c. How many coats must be sold in order to break even? Round to the nearest whole number if rounding is necessary.
Element X is a radioactive isotope such that its mass decreases by 20% every year. Ifan experiment starts out with 730 grams of Element X, write a function to representthe mass of the sample after t years, where the monthly rate of change can be foundfrom a constant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per month, to the nearesthundredth of a percent.
The revenue in dollars for a product is given by the function R(x) = 36x- 0.01x² where x is the number of units sold. What is the average rate of change in revenue as increases from 10 to 20 units? $35.70 $35.80 $35.50 O $35.60
Describe what fixed costs and marginal costs mean to a company. Choose the correct answer below. A. Fixed cost is the rate of change of cost C(x) at the level of production x and is equal to the slope of the cost function at x. Marginal cost is the constant for a particular product and does not change as more items are made. O B. The number of units at which revenue just equals cost is the fixed cost. Marginal cost is the constant for a particular product and does not change as more items are made. O C. Fixed cost is the constant for a particular product and does not change as more items are made. Marginal cost is the rate of change of cost C(x) at the level of production x and is equal to the slope of the cost function at x. OD. Fixed cost is the constant for a particular product and does not change as more items are made. The number of units at which revenue just equals cost is the marginal cost.
Please write clearly
Suppose the revenue (in dollars) from the sale of x units of a product is given by 74x² + 81x 2x + 2 R(x) = Find the marginal revenue when 53 units are sold. (Round your answer to the nearest dollar.) $ Interpret your result. When 53 units are sold, the projected revenue from the sale of unit 54 would be $

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

If the profit for producing x units can be approximated by the function P(x) = 0.002x³ + 100x, determine the marginal profit (profit per item), in dollars, for 50 units. $15 $5250 $250 $115