A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units ofprotein, 3 units ofcarbohydrates, and 2 units offat, and will contain 40 calories. Each ounce of nuts will supply 2 units ofprotein, 1 unit of carbohydrate, and 4 units offat, and will contain 50 calories. Every package must provide at least 2 units ofprotein, at least 13 units ofcarbohydrates, 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 ofcalories?

Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must byminimized?

z=____x+___y