Answer
lose $6,000$ dollars when producing and selling 200 radios.
Work Step by Step
Given the formulas $R(x)=50x$ and $C(x)=10000+30x$, we have:
$R(200)-C(200)=50(200)-(10000+30(200))=10,000-10,000-6,000=-6,000$
This means that the company will lose $6,000$ dollars when producing and selling 200 radios.