# Chapter 3 - Section 3.2 - Problem Solving and Business Applications Using Systems of Equations - Exercise Set - Page 207: 41

$x=500$

#### Work Step by Step

Here, $C(x)=10,000+3x; R(x)=50x$ when the revenue breaks with the costs then $C(x)=R(x)$ Thus, $10,000+3x=50x$ or, $10,000=50-30x$ or, $x=500$

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