   Chapter 12.1, Problem 41E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Revenue If the marginal revenue (in dollars per unit) for a month for a commodity is M R ¯ =   —   0.4 x   +   30 , find the total revenue function.

To determine

To calculate: The total revenue function if the marginal revenue for a month for a commodity is MR¯=0.4x+30.

Explanation

Given Information:

The marginal revenue for a month for a commodity is,

MR¯=0.4x+30.

Formula used:

The power rule of integrals,

xndx=xn+1n+1+C (n1)

Calculation:

As it is provided that the marginal revenue for a month for a commodity is,

MR¯=0.4x+30

Now, the marginal revenue can be obtained by differentiating the total revenue function R(x) as,

R(x)=0.4x+30

Thus, the total revenue can be obtained by integrating the above function as,

R(x)=0.4x+30dx

Now, integrate the above function using power rule of integrals as,

R(x)=0

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