   Chapter 12.1, Problem 43E ### 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 is given by M R ¯ =   −   0.3 x +   450 , what is the total revenue from the production and sale of 50 units?

To determine

To calculate: The total revenue from the production and sale of 50 units if the marginal revenue for a month for a commodity is MR¯=0.3x+450.

Explanation

Given Information:

The marginal revenue for a month for a commodity is,

MR¯=0.3x+450.

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¯=0.3x+450

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

R(x)=0.3x+450

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

R(x)=(0.3x+450)dx

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

R(x)=0.3[x22]+450x+C=0

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