If Bagel Emporium burned 10 percent of the total amount of bagels produced and that amount was 208, we can set up the following equation to find the total number of bagels produced:
Let \( x \) be the total number of bagels produced.
We know that:
\[ 0.10x = 208 \]
To find \( x \), divide both sides by 0.10:
\[ x = \frac{208}{0.10} \]
\[ x = 2080 \]
So, the total number of bagels produced is 2,080.
Therefore, the answer is C. 2,080.