Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 159: 28

Answer

$\bf\text{The product will never break even.}$

Work Step by Step

Remember that the break even point is where the revenue, $R$ is greater than or equal to the costs, $C$, or simply: $$R\geq{C}$$ Simply plug in the values and work the inequality $60x\geq{70+500}$ subtract $70x$ from both sides $-10x\geq{500}$ Right away we can see that we will lose ${$}10$ for every item, $x$ we make. So we will never make up the ${$}500$ initial cost and never break even.
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