Even though most companies would do anything to save money by refusing to give hardworking employees pay raises or by piling up work on people instead of hiring more staff, there are still many ways these companies waste their precious money. Whatever they "save" by acting cheap in one department gets thrown away in other departments, even when there are plenty of ways to cut these costs.
When you work for companies like that long enough, you learn that even if you come up with a solid improvement plan to save valuable money in these wasteful departments, you will most likely be met with rejection. Changes are often too scary for big corporations, so they would rather keep at it with what they know than introduce a change they don't want to deal with.
The only way to show them they are wrong is by following their instructions and heavily hurting their pockets in the process.
Take the employee below as an example. This employee goes on business trips twice a year, so they are familiar with the business travel expenses they have to submit every time to get reimbursed. After a few trips, this employee realized there are much cheaper ways to manage these expenses, and even offered them to the company in an attempt to save the business a few hundred bucks every trip. However, since these cheaper ways did not follow the policy, the company refused to give them a try, even after the employee insisted they cut major costs.
It was only after the employee followed the policy to the point that the company truly saw how much they were wasting by not listening to the employee who just wanted to help. All it took was adhering to the rules, and the employee got the company to open its eyes to new possibilities.