I don't mean they are the easiest, but it's a way to get another department to change stupid ways of doing things if they don't have any interest in doing it themselves.
If you have suggestions for your own department, by all means use them. Since the whole point of these programs is to reduce costs, make sure you point out how your idea will achieve that. If you do that, I guarantee your idea will get serious consideration, which is important if you can make money from your idea.
For example:
"My suggestion is to eliminate a paper form used in the storeroom.
Form X12 is used to record damaged goods when delivered. Four copies are made of each X12 form and mailed to other departments. The computer system used for inventory should allow the information about damaged goods to be entered directly into the system. That way all departments could access that information from the inventory system and the paper copies could be eliminated. This would save an hour each day in copying the forms, preparing them for distribution to the other departments, and filing them. Also, accessing the information would be much faster than manually searching through the files."
Another example:
"I am suggesting that wireless headset telephones be issued to all personnel in the warehouse. Many hours each day are spent going back and forth to the telephones. Most of the warehouse staff are each making a couple dozen calls each day to customer service to update them on inventory levels and shortages. Each time this is done the person in the warehouse has to walk down to the main office to use the phone. A wireless headset phone would make it possible for calls to be made from anywhere in the warehouse while continuing to pull stock. These phones cost under $300 each, and by eliminating the unproductive time spent in going to the main office they would pay for themselves in under three months."