In: Advanced Math
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, and 2 units of fat, and will contain 40 calories. Each ounce of nuts will supply 2 units of protein,1 unit of carbohydrate, and 4 units of fat, and will contain 50 calories. Every package must provide at least 2 units of protein, at least 7 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?
(a)Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must be minimized?
(b)The dietician should use __ ounce(s) of fruit and ___ ounce(s) of nuts. These amounts will have a total of ___ calories