Abaker is fooding up open topped boxes to oackage up her baked goods. she has flat, rectangular pieces of cardboard that are 10 inches by 6 inches. she wants to maximize the volume of the box. what size squares should she cut from the corners of the cardboard?

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?