Question

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 4 units of​ protein, 2 units of carbohydrates​, and 4 units of​ fat, and will contain 50 calories. Every package must provide at least 4 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?

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

The dietician should use nothing ​ounce(s) of fruit and nothing ​ounce(s) of nuts. These amounts will have a total of nothing calories. ​(Type whole​ numbers.)

Answer 1

The graph of the inequalities is as follows