Answer the question using linear programming simplex method. A dietician has learned from a nutritional book that his family needs at least 300 grams of protein and at least 60 milligrams of iron per day for sound health. These nutrients can be obtained from meat and vegetable products. Each kilogram of meat cost an average of P90 and contains an average of 150 grams of protein and 15 milligrams of iron while each kilogram of vegetables cost P22.50 and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutritional requirements at least cost.

Answer the question using linear programming simplex method. A dietician has learned from a nutritional book that his family needs at least 300 grams of protein and at least 60 milligrams of iron per day for sound health. These nutrients can be obtained from meat and vegetable products. Each kilogram of meat cost an average of P90 and contains an average of 150 grams of protein and 15 milligrams of iron while each kilogram of vegetables cost P22.50 and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutritional requirements at least cost.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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Question

Answer the question using linear programming simplex method.

A dietician has learned from a nutritional book that his family needs at least 300 grams of protein and at least 60 milligrams of iron per day for sound health. These nutrients can be obtained from meat and vegetable products. Each kilogram of meat cost an average of P90 and contains an average of 150 grams of protein and 15 milligrams of iron while each kilogram of vegetables cost P22.50 and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutritional requirements at least cost.

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