Before they were pets, dogs were workers. They can carry their own supplies without complaint (already making them superior to most humans right now), sniff out food and water, and search for and bring down prey. Some breeds, such as huskies, have been specifically tailored to bust their butts on the barest of rations. Dogs also have a long and storied history of offensive and defensive combat use, making them perfectly suited to attack anyone who thinks they have more of a right to that sweet, sweet snack cake stockpile than you do. Which is to say, your four-legged pal is just a few training sessions and a kickass set of armor away from leading you to your rightful place as God Of The Ragged Desert/Water People.
The Cold War era civil defense programs promoted public atomic bomb shelters, personal fallout shelters, and training for children, such as the Duck and Cover films. The Church of Jesus Christ of Latter-day Saints (LDS Church) long directed its members to store a year's worth of food for themselves and their families in preparation for such possibilities; but the current teaching advises only a three-month supply.