Do you think this way to help zoo's that are having financial difficulties would work.?

A lot of zoo's know are having trouble with their budgets and it is hurting the quality of care that they can give to the animals. also at the same time animal shelters are over crowded and having to put down dags and cats every day. wouldn't it then make sense to feed the carnivorous animals such as lions, tigers, alligators and ect.. the cats and dogs that the shelters would be putting down. This would alleviate some of the budget cost buy not having too buy food and would help with the over crowding as well.