Natural disaster is far more likely to take out the Internet and power grid. I was speaking with a veteran of Naval Intelligence, he was eating at the restaurant I work at, and we both happened to step out for a smoke.
But he was telling me how the Internet would be a lot harder to take down than many people think. Since it's just connections between computers more or less, one would have to severely disrupt the web to cause significant loss of connection. Simply cutting one link between computer A and B, since both A and B are still connected to C or D, and can still communicate with each other, albeit slowly.
I gather power is similar. You can redirect to necessary areas from available supplies, but with reduced efficiency and capacity.
As for ordering food, I've got to get on the horn with suppliers at least once a month, and it doesn't even officially fall under my job description to find so.