Explanation Given: Cost function is C ( x ) = 1000 x + 5000 . Revenue is R ( x ) = 900 x . Calculation: Obtain the break-even quantity by setting the revenue equal to cost. That is, R ( x ) = C ( x ) . 900 x = 1000 x + 5000 900 x − 1000 x = 5000 ( Subtract 1000 x from both sides ) − 100 x = 5000 Divide both sides of the above equation by −100. x = 5000 − 100 x = − 50 Thus, the break-even quantity is −50 units

10th Edition

ISBN: 8220102020252

Author: RITCHEY

Publisher: PEARSON

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Chapter 1.2, Problem 42E

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Chapter 1.2, Problem 41E

Chapter 1.2, Problem 43E

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EBK FINITE MATHEMATICS AND CALCULUS WIT

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The break-even quantity and profit function.

Solution Summary: The author explains that the break-even quantity is 50 units, and the profit function is P(x)=-100x-5000.

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Chapter 1 Solutions