Basically, 10% of your GMP is "stored" offline, and 90% is "stored" online. When you expend GMP on development or whatever, it is deducted from your offline account. For example, let's say you have 1 million GMP in total. The game stores 100,000 offline and 900,000 online. Say you spend 500,000 to develop a gun. The game charges it to the offline account, the one with 100,000 and sends it into the negative; in this example, 100,000 - 500,000 = -400,000. Now, if you're online you wouldn't even notice this, since it displays total GMP: 900,000 (online) + (-400,000) (offline) = 500,000, which is, of course, what you'd expect. If, however, you then go offline, it removes the online portion from the sum and only displays your offline GMP, ie, -400,000, and this is why so many people have been noticing their GMP going into the red when offline. Periodically- I'm not sure how frequently, maybe once a day or so?- the game redistributes GMP into your offline and online accounts in the usual 1:9 ratio. So going back to my previous example, at some point the game would redistribute your 500,000 remaining GMP into 50,000 offline and 450,000 online. You can see this with vehicles and resources, too. If you have 10,000 precious metal total, only 10%, ie, 1000 would be offline and available for you to sell. If you sold that 1000, you'd have a total of 9000 left, but none offline, so you wouldn't be able to sell any more until the game put 10% of the remaining total precious metal into offline storage. ("Offline" and "online" can be used interchangeably with "Mother Base" and "FOB", respectively)
It's wholly unnecessary, and it fucking sucks.
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