Chapter 12.4, Problem 2E

### Mathematical Applications for the ...

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

Chapter
Section

### Mathematical Applications for the ...

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

# In Problems 1-12, cost, revenue, and profit are in dollars and x is the number of units.If the monthly marginal cost for a product is M C ¯   =   x +   30 and the related fixed costs are $5000, find the total cost function for the month. To determine To calculate: The total cost function for month if the monthly marginal cost for a product is MC¯=x+30 and related fixed cost is$5000.

Explanation

Given Information:

The monthly marginal cost for a product is MC¯=x+30 and related fixed cost is \$5000.

Formula used:

The anti-derivative of function f(x)=xn is given by;

xndx=xn+1n+1+c n1

Here c is any arbitrary constant.

Calculation:

Consider the monthly marginal cost for a product is;

MC¯=x+30

The total cost function is;

C(x)=

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