Chapter 5.1, Problem 64E

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Chapter
Section

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
5 views

Profit In Exercises 61–64, find the profit function for the given marginal profit and initial condition. Marginal   Profit Initial   Condition d P d x = − 30 x + 920 P ( 8 ) = $6500 To determine To calculate: The profit function for the marginal profit dPdx=30x+920 with initial condition P(8)=$6500.

Explanation

Given Information:

The marginal profit is dPdx=30x+920 and initial condition is P(8)=\$6500.

Formula used:

The sum rule of basic integration [f(x)+g(x)]dx=f(x)dx+g(x)dx.

The simple power rule of integration xndx=xn+1n+1+C.

Calculation:

Consider the marginal profit, dPdx=30x+920.

Integrate the provided marginal cost, use the sum rule of basic integration [f(x)+g(x)]dx=f(x)dx+g(x)dx.

dpdxdx=(30x+920)dx=30xdx+920dx

Use the simple power rule of integration xndx=xn+1n+1+C

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