Did you know that police officers are people as well?
That means they have to be payed, and their wages come out of your pocket.
To solve this little problem, we need a police officer that never needs to sleep, eat or be payed. Fear Of The Yam have the answer:

Its still in its test phase, but it can already chase people and does bugger all when your house has been robbed.
We will display photos of FED HEAD MK I when we have some.