One other thing that jumped out to me right away was the calorie count. I have not looked into how many calories there would be in a 5 gallon bucket full of rice or beans, but assuming you are a normal sized man, you will require about 2200 calories in a day, if you are relaxing and not doing much. If you are having to do things that require a large amount of energy, that can go as high as 4000 calories. That means that the 40,000 calorie store you mentioned would only last you 10 days. If there are two of you, even less than that. I would find a calorie counter and try to figure out how many calories (approximately) you would require in a day, doing the types of things you would expect to do in a survival situation, and then figure out how much food you are going to need to make it for the duration you are expecting. I was surprised to see how many calories it took to maintain yourself on a backwoods hike, with 45lbs pack in the cold. If you walk for a total of 6 hours, and perform basic camp chores, you will be in the high 3000s. One other factor to throw in there is that you should maked these calculations based on ideal weight. In other words, if you are overweight, you will start losing your excess while eating the calculated diet, but within a short period of time, you should arrive at your ideal weight and be able to maintain it.
Hope this helps,
Smackdaddyj