Precalculus (6th Edition) Blitzer

Published by Pearson

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 820: 75

Answer

a. $C(x)=30,000+2500x$. b. $R(x)=3125x$. c. $48$. This means that you will break even when there are 48 sold-out performances.

Work Step by Step

a. We can write the cost function as $C(x)=30,000+2500x$. b. We can write the revenue function as $R(x)=3125x$. c. The break-even point can be found by letting $R(x)=C(x)$ or $3125x=30,000+2500x$ which gives $x=48$. This means that you will break even when there are 48 sold-out performances.

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