Solve the problem.Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind ofperfume is priced at p dollars per bottle, she will sellB(p) =300p+5 P27bottles per month at a total cost ofClp) = 0.2p? + 3p + 150 dollarsAt what rate is the profit changing with respect to p when the price is $14 per bottle? Is profit increasing or decreasing at that price?

NOTE: Refresh your page if you can't see any equations. . the demand function is . the revenue…

Answered: Solve the problem. Bea Johnson, the…

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

For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).
Suppose that the cost (in dollars) of manufacturing x items is approximated by the formula C2 = 2x + x2. Find the daily rate of change in the cost function at the time the production level is 10 items and changing at a rate of 3 items per day. $7.33 per day $3.01 per day $66 per day $2.83 per day
This is a two part question. Collin has a small business selling hotdogs at tennis matches. He purchases all of the materials to make each hotdog for $2.60 and has fixed costs at each match of $10. Collin sells each hotdog to customers for $3.60. At most he can produce 42 hotdogs at a match. (1) Draw a complete break-even chart of Collin's hotdog business. Your picture should have a dot on the break-even point and lines for total revenue, total cost, and fixed cost. y, Revenue/Cost ($) 150 140 130 120 110 100 90 80 70 60 50- 40 30- 20 10 24 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 x, Units
YOUR TURN 4 Suppose the revenue in dollars is given by R(x) = given by C(x) = &x + 192. Find (a) the minimum break-even quantity, (b) the maximum revenue, and (c) the maximum profit. -x +40x and the cost is %3D

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