Answered: Food I Food II Food III Vitamin A 400…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 11E

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Question

A dietitian wishes to plan a meal around three foods. The meal is to include 8,400 units of vitamin A, 3,030 units of vitamin C, and 1,170 units of calcium. The number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table. 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)