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 8 units of
protein, at least 16 units of carbohydrates, and no more than
18 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?
z = x+y