Explanation Given: Cost function is C ( x ) = 105 x + 6000 . Revenue is R ( x ) = 250 x . Calculation: Obtain the break-even quantity by setting the revenue equal to cost. That is, R ( x ) = C ( x ) . 250 x = 105 x + 6000 250 x − 105 x = 6000 ( Subtract 105 x from both sides ) 145 x = 6000 Divide both sides of the above equation by 145. x = 6000 145 x ≈ 41

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 1.2, Problem 40E

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To find: The break-even quantity and profit function.

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Chapter 1.2, Problem 39E

Chapter 1.2, Problem 41E

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Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 1.1 - Find the slope of the line through (1, 5) and (4,...Ch. 1.1 - Find the equation of the line with x-intercept 4...Ch. 1.1 - Prob. 3YT Ch. 1.1 - Find the equation of the line through (2, 9) and...Ch. 1.1 - Prob. 5YT Ch. 1.1 - Prob. 6YT Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE Ch. 1.1 - Prob. 3WE Ch. 1.1 - Prob. 4WE

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The break-even quantity and profit function.

Solution Summary: The author explains that the break-even quantity is 41 units and the profit function is P(x)=145x-6000.

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Chapter 1 Solutions