Bob, a nutritionist who works for the University Medical Center,has been asked to prepare special diets for two patients, Susan andTom. Bob has decided that Susan's meals should contain at least 490mg of calcium, 23 mg of iron, and 60 mg of vitamin C, whereas Tom'smeals should contain at least 440 mg of calcium, 18 mg of iron, and50 mg of vitamin C. Bob has also decided that the meals are to beprepared from three basic foods: Food A, Food B, and Food C. Thespecial nutritional contents of these foods are summarized in theaccompanying table. Find how many ounces of each type of foodshould be used in a meal so that the minimum requirements ofcalcium, iron, and vitamin C are met for each patient's meals.
Contents (mg/oz)
Calcium Iron Vitamin C
Food A 30 1 2
Food B 25 1 5
Food C 20 2 4
Susan's meals:
Food A oz
Food B oz
Food C oz
Tom's meals:
Food A oz
Food B oz
Food C oz