# Creating a formula for using energy while regaining it

Backstory: Im playing a game and I regain energy in this game a 1 / 180 s (3m). I would like to be efficient at using my energy, and use energy over a span of 8 hours without running out. At max, I can hold 130 energy in my storage for us, and I use it in factors of 14 energy at a time.

I would like to figure out how often I can use energy at 14 energy per use over a certain amount of time, say 8 hours, without running out, but also using energy in the reserve while regaining energy over this time.

I can theorize it, but Im having a hard time creating a formula for it.

Thanks!

The maximum use happens when you start with $$130$$, instantly use $$14$$ so you are regaining energy all the time, and use your last $$14$$ at the end of the interval. In that case you regain $$160$$ energy during the $$8$$ hours. That means you can have $$290$$ total (or maybe $$289$$ because it takes a bit of time to use the first block, so the last recovery is just after the $$8$$ hour point), but as you use it in blocks of $$14$$ you can only use $$280$$. You can use $$20$$ blocks of energy. Your starting complement gives you $$9$$ blocks. It is hard to give a concise description on the allowable spacing of the uses.
• Because 21\cdot 14=294$so using$21\$ blocks requires more energy than you will get – Ross Millikan Apr 9 at 23:44