Rationing food is one of the worst things you can do. If you eat less than your body needs each day your body will begin burning fat but won't do so in a proper 'fasting' mode and you'll last way less than 40 days...and you'll always feel hungry and miserable. You should eat the food you have early and use that energy to build a good shelter and collect a boat load of firewood...
Now that is the most counter intuitive thing I've ever heard, but if correct highly important. Please do post that book title.
HJ