Work on the problem – throw yourself at the problem until it is no longer a problem, or at least until its diminished enough to be a headache you can live with. To do this well, you need to spend big blocks of time getting to the root of the issue; to take it a part until you understand it. Then spend more big blocks of time creating and testing the solve. Then a little less time implementing the solve. Total time depends on how complicated the problem is and how much authority you have to fix it.
Ignore the problem – if the problem is outside the core function of your work, transitory, or simply annoying, you should probably ignore the problem. If it gets more annoying, consider method 1.
Hire someone to work on the problem – if your problem is the volume of work that needs to be done and you are confident you can hire and train well, then hire – it frees up time for you to work on big problems.
If the problem requires specialized knowledge or you don’t know how to understand the problem, then pay for an expert. Be prepared to follow their advice and challenge your assumptions if you don’t agree with that advice.
If it is a big problem you already understand then consider the trade-offs between spending time to hire versus your other options. Hiring means you have to bring someone on, train them, help them deeply understand the business and the big problem, and them task them with solving the problem. Then be OK with how they solve it (because it probably won’t be how you would solve it). This will take much more time than you solving a well-understood problem on your own.
Most problems can be ignored and many problems do not require hiring. By no means should you hire someone to solve a problem that can and should be ignored. You will waste both time and money.
Volume problems aren’t really a problem, they’re a signal that what you’re doing works well and that your output is appreciated. They also mean it’s time to grow.
If you can’t articulate what your problem is in the first place, then you probably don’t have one. And no one needs a solution to a problem that doesn’t exist.