Chapter 12.4, Problem 6E

### 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

# TOTAL COST AND PROFITIn Problems 1-12, cost, revenue, and profit are in dollars and x is the number of units.If the marginal cost for producing a product is M C ¯ =  5 x +   10 , with a fixed cost of $800, find the cost of producing 20 units. To determine To calculate: The cost of producing 20 units if the marginal cost for a product is MC¯=5x+10 and the production of 20 units results in total cost of$800.

Explanation

Given information:

It is provided that the marginal cost for a product is MC¯=5x+10 and the production of 20 units results in total cost of $800. 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: MC¯=5x+10 Consider the formula: C(x)=MC¯dx Substitute 5x+10 for MC¯ in above equation to get: C(x)=(5x+10)dx Solve by the use of integration formula, xndx=xn+1n+1+K, C(x)=5x22+10x+K Since, 20 units results in total cost of$800

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