   Chapter 12.4, Problem 1E ### 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

# In Problems 1-12, cost, revenue, and profit are in dollars and x is the number of units.If the daily marginal cost for a product is M C ¯ = 2 x + 100 , with fixed costs amounting to $200, find the total cost function for each day. To determine To calculate: The total cost function for each day if MC¯=2x+100 and fixed costs are$200.

Explanation

Given information:

The daily marginal cost for a product is, MC¯=2x+100 and fixed costs are $200 Formula used: Total Cost: C(x)=MC¯dx Where MC¯ is defined as the marginal cost. The integral formula, xndx=xn+1n+1+K Where K is a constant Calculation: Consider the marginal cost and fixed costs: MC¯=2x+100 And fixed costs is$200

Use the formula,

C(x)=MC¯dx

Substitute 2x+100 for MC¯ in above equation to get:

C(x)=(2x+100) dx

Use the integral formula

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