The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t) is the number of storesand S(t) is average revenue per store per month. Couture embarks on a two-part campaign: to build new stores at a rate of 5stores per month and to use advertising to increase average revenue per store at a rate of $10,000 per month. Assume thatN(0)= 50 and S(0) = $150,000.Compute the total revenue increase.(Use symbolic notation and fractions where needed. Write S(t) as S and N(t) as N.)dRdtCalculate =0°dR(Give your answer as a whole or exact number.)dR|dtIt=0II

R(t)=N(t)S(t) R(t)= revenue earned at time t N(t)=number of stores S(t)=average revenue per store…

Answered: The revenue per month earned by 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

The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t) is the number of stores and S(t) is average revenue per store per month. Couture embarks on a two-part campaign: (A) to build new stores at a rate of five stores per month, and (B) to use advertising to increase average revenue per store at a rate of $10,000 per month. Assume that N(0) = 50 and S(0) = $150,000. (a) Show that total revenue will increase at the rat
What is the behaviour Of the solution when t approaches to?
A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. If production increases continuously, what is likely to be the average cost per sink?
The population, P(t), of fish in a lake is modeled by the equation dP/dt =3P-2.4*10-4P2. If this population begins with 500 fish when will the population of fish reach 10 thousand?
Find the consumers' surplus if the demand function for a particular beverage is given by D(q)=3000/(3q+7)^2 and if the supply and demand are in equilibrium at q=6. The consumers' surplus is?
The average cost function for the weekly manufacture of retro portable CD players is given by C(x) = 160,000x−1 + 20 + 0.01x dollars per player, where x is the number of CD players manufactured that week. Weekly production is currently 3,000 players and is increasing at a rate of 100 players per week. What is happening to the average cost?
A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.75x2, where C is the total cost (in dollars) and x is the number of units produced. How many fixtures should be produced each day to yield a minimum cost?
A manufacturer of lighting fixtures has daily production costs of C = 800 − 20x + 0.25x2, where C is the total cost (in dollars) and x is the number of units produced. What daily production number yields a minimum cost?
The monthly demand for insulated coffee mugs is given by q= 4400 − 200p, where p is the price of a mug in dollars. The monthly supply is given by q= 300p − 600. When the market is in equilibrium, how many mugs are sold per month?
Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1
The growth of bacteria in food products makes it necessary to time-date some products (such as milk) so that they will be sold and consumed before the bacteria count is too high. Suppose for a certain product that the number of bacteria present is given byƒ(t) = 500e0.1t,under certain storage conditions, where t is time in days after packing of the product and the value of ƒ(t) is in millions. (a) If the product cannot be safely eaten after the bacteria count reaches 3000 million, how long will this take?(b) If t = 0 corresponds to January 1, what date should be placed on the product?
Given the supply and demand functions of a given product QS is x2 + 14x + 22 and QD = -x2 - 10x = 150, determine 1. the equilibrium price 2. Equilibrium quantity

SEE MORE QUESTIONS

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