A dietitian designs a special diet supplement using two different foods.Each ounce of food X contains 10 units of calcium, 15 units of iron, and 20 units of vitamin B.Each ounce of food Y contains 15 units of calcium, 10 units of iron, and 20 units of vitamin B.The minimum daily requirements for the diet are 380 units of calcium, 240 units of iron, and 390 units of vitamin B.Which combinations of foods X and Y below, if any, can be given to the patient to meet the minimum daily requirements? Combination I :
21 ounces of food X and 22 ounces of food Y
Combination II :
16 ounces of food X and 19 ounces of food Y
Combination III :
10 ounces of food X and 10 ounces of food Y
A) Only combinations II and III meet the minimum daily requirement.
B) Only combination II meets the minimum daily requirement.
C) None of the combinations meet the minimum daily requirement.
D) Only combinations I and II meet the minimum daily requirement.
E) Only combination III meets the minimum daily requirement.

Question

Quizplus · Accepted Answer

Combination I: Food X (21 oz) provides 210 units of calcium, 315 units of iron, and 420 units of vitamin B. Food Y (22 oz) provides 330 units of calcium, 220 units of iron, and 440 units of vitamin B. Combined, they provide 540 units of calcium, 535 units of iron, and 860 units of vitamin B, meeting all minimum requirements. Combination II: Food X (16 oz) provides 160 units of calcium, 240 units of iron, and 320 units of vitamin B. Food Y (19 oz) provides 285 units of calcium, 190 units of iron, and 380 units of vitamin B. Combined, they provide 445 units of calcium, 430 units of iron, and 700 units of vitamin B, meeting all minimum requirements. Combination III does not meet the minimum requirements for calcium and iron.

A Dietitian Designs a Special Diet Supplement Using Two Different