Answer
The \[R\left( 200 \right)-C\left( 200 \right)\]is\[-6000\], and it represents that when the company produces and sells \[200\]radios, the loss is\[6000\].
Work Step by Step
The value of the profit function is,
\[\begin{align}
& P\left( x \right)=R\left( x \right)-C\left( x \right) \\
& =50x-\left( 10000-30x \right) \\
& =50x-10000-30x \\
& =20x-10000
\end{align}\]
The value of the profit function is,\[P\left( x \right)=20x-10000\]
Put \[x=200\] in the\[P\left( x \right)=20x-10000\]. Then, the value of \[P\left( 200 \right)\] is,
\[\begin{align}
& P\left( x \right)=20x-10000 \\
& =20\times 200-10000 \\
& =4000-10000 \\
& =-6000
\end{align}\]
Hence, \[P\left( x \right)=-6000\] represent loss of \[6000\] when the \[200\] radios produced and sold.
