2023 Fermat Problem 5

Ava's machine takes four-digit positive integers as input. When the four-digit integer ABCD is input, the machine outputs the integer A \times B + C \times D. For example, when the input is 1234, the output is 1 \times 2 + 3 \times 4 = 2 + 12 = 14. When the input is 2023, the output is

\textbf{(A)}\ 0\quad \textbf{(B)}\ 2\quad \textbf{(C)}\ 3\quad \textbf{(D)}\ 6\quad \textbf{(E)}\ 8

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.