A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C′(x)=30x3x2+e, where x is the number of units produced. (a) Find the cost function, given that the company incurs a fixed cost of $13,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $18,000 to produce 5 units. Should they seek this new source?

A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C′(x)=30x3x2+e, where x is the number of units produced. (a) Find the cost function, given that the company incurs a fixed cost of $13,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $18,000 to produce 5 units. Should they seek this new source?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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