A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein 3, units of carbohydrates 2, and unit of fat, and will contain 30 calories. Each ounce of nuts will supply 2 units of protein 2, units of carbohydrate, and units of fat, and will contain 40 calories. Every package must provide at least 2 units of protein, at least 11 units of carbohydrates, and no more than 14 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories?
