Chapter 9, Problem 94RE

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Revenue In a 100-unit apartment building when the price charged per apartment rental is ( 830   +   30 x ) dollars, the number of apartments rented is 100  - x and the total revenue for the building is R ( x ) = ( 830 + 30 x ) ( 100 − x ) where x is the number of $30 rent increases (and the resulting number of unrented apartments). Find the marginal revenue when x = 10 . Does this tell you that the rent should be raised (causing more vacancies) or lowered? Explain. To determine To calculate: The marginal revenue at x=10 with revenue function, R=(830+30x)(100x) and state whether the rent raised or lowered. Explanation Given Information: The revenue function of the commodity is R=(830+30x)(100x) and the$30 rent increases.

Formula used:

The simple power rule for the derivative,

ddx(xn)=nxn1

The rule of derivative for constant multiplication,

ddx[kf(x)]=kddx[f(x)]

The product rule of the derivative,

ddx[f(x)g(x)]=g(x)ddx[f(x)]+f(x)ddx[g(x)]

Calculation:

Consider the provided cost function, R=(830+30x)(100x)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Differentiate. y = sin cos

Single Variable Calculus: Early Transcendentals, Volume I

#### Solve the equations in Exercises 126. 2x3x12x+3x+1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Fill in each blank: 40C=F

Elementary Technical Mathematics

#### Evaluate: 12x21xdx. a) 322 b) 2+21 c) 4+2 d) 14

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th