if you can recoup your funds 10 days after launching in one such city, why are you worried about the investors?
launch in 1 city -> recoup -> launch in another city -> recoup -> ... do that enough times and you either have traction and/or you don't really need investors.
i suspect that your prediction of the recoup-ability is what's off.
launch in 1 city -> recoup -> launch in another city -> recoup -> ... do that enough times and you either have traction and/or you don't really need investors.
i suspect that your prediction of the recoup-ability is what's off.