Batman is "The World's Greatest Detective". He has an absolute advantage in solving crimes compared to every other detective in Gotham, yet he still works regularly with James Gordon and the rest of the Gotham City Police Department. Why is that?

In fact, he's better than James Gordon at both catching bad guys and solving crimes. He can solve 8 crimes in a week and catch 12 bad guys. James Gordon can only solve 6 crimes in a week and catch 6 bad guys. Using this information, calculate the opportunity cost of catching bad guys and solving crimes for each Batman and James Gordon. Who is the lower cost producer of catching bad guys? Who is the lower cost producer of solving crimes?