A dietitian wishes to plan a meal around three foods. The meal is to include 8,000 units of vitamin A, 3,160 units of vitamin C, and 840 units of calcium. The number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table. Vitamin A Vitamin C Calcium Food I 400 110 90 Food II 1200 570 30 Food III 800 340 60 Determine the amount of each food the dietitian should include in the meal in order to meet the vitamin and calcium requirements. (Let x, y, and z denote the number of ounces of Food I, Food II, and Food III, respectively. If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) (x, y, z) =

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A dietitian wishes to plan a meal around three foods. The meal is to include 8,000 units of vitamin A, 3,160 units of vitamin C, and 840 units of calcium. The
number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table.
Vitamin A
Vitamin C
Calcium
Food I Food II
400
110
90
1200
570
30
Food III
800
340
60
Determine the amount of each food the dietitian should include in the meal in order to meet the vitamin and calcium requirements. (Let x, y, and z denote the
number of ounces of Food I, Food II, and Food III, respectively. If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your
answer in terms of the parameters t and/or s.)
(x, y, z) =
Transcribed Image Text:A dietitian wishes to plan a meal around three foods. The meal is to include 8,000 units of vitamin A, 3,160 units of vitamin C, and 840 units of calcium. The number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table. Vitamin A Vitamin C Calcium Food I Food II 400 110 90 1200 570 30 Food III 800 340 60 Determine the amount of each food the dietitian should include in the meal in order to meet the vitamin and calcium requirements. (Let x, y, and z denote the number of ounces of Food I, Food II, and Food III, respectively. If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) (x, y, z) =
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