Nutrition: Amount of food A, B and C to Meet the Nutrient Requirements
Problem
A nutritionist in a hospital is arranging special diets that consist of a combination of three basic foods. It is important that the patients on this diet consume exactly 310 units of calcium, 190 units of iron, and 250 units of vitamin A each day. The amounts of these nutrients in one ounce food are given in the following table.
| Units Per Ounce | |||
| Calcium | Iron | Vitamin A | |
| Food A | 30 | 10 | 10 |
| Food B | 10 | 10 | 30 |
| Food C | 20 | 20 | 20 |
How many ounces each food must be used to satisfy the nutrient requirements exactly?
B. 3 ounces of Food A, 5 ounces of Food B and 6 ounces of Food C
C. 6 ounces of Food A, 3 ounces of Food B and 5 ounces of Food C
D. 5 ounces of Food A, 3 ounces of Food B and 6 ounces of Food C