A dietitian wishes to plan a meal around three foods. The meal is to include 8,800 units of vitamin A, 3,380 units of vitamin C, and 1,020 units of calcium. The number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table. Food I Food II Food IIIVitamin A4001200800Vitamin C110 570 340 Calcium90 30 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) =

Given data is, Food I Food II Food III Vitamin A 400 1200 800 Vitamin C 110 570…

Answered: A dietitian wishes to plan a meal…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.4: Matrix Inverses

Problem 59E

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A dietitian wishes to plan a meal around three foods. The meal is to include 8,800 units of vitamin A, 3,380 units of vitamin C, and 1,020 units of calcium. The number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table.

	Food I	Food II	Food III
Vitamin A	400	1200	800
Vitamin C	110	570	340
Calcium	90	30	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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