A six-pack of Ramen noodles ($2), six tins of sardines or Vienna sausages($1 ea), and a gallon of bottled water($2). Minimum food and water for three days.
I saw oatmeal on sale. Thirty servings for $1.99. So $10 gets you five months of breakfast. Or, assuming water is not an issue, you could drop the water in the above mix and add a canister of oatmeal.
A piece of scrap metal rod, or #2, pencil, reinforcing rod bent into handle and $4 of latex tubing and a couple of dollars of .25 or .375 steel BBs and your set for squirrel or rabbit. A 'Pocket Rocket' replacement set for $7 will get you the tubing and a leather pocket.
$5 will get you a reel of brown stainless steel wire that is sold as leader for salt water fishing. Great for snares. The other $5 might go for a cheap aluminum stew pot to efficiently cook what you catch and boil water.
I have seen both a fleece blanket and a 6' by 8' blue tarp on sale for $5 each. That makes a sleep roll, mild weather sleeping bag, shelter/ blanket system.
Large pillow case($2)and a hank of 1/4" nylon line($2)when combined makes a workable rucksack. Two liter bottles of discount soda ($4) gets you a couple of nice canteens. Canister of oatmeal($2 is a bland but workable diet for ten days.