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36. A diet is to contain at least 400 units of vitamins, 500 units of minerals, and 1400 calories. Two foods are available: F1, which costs $0.05 per unit, and F2, which costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit of minerals, and 4 calories; a unit of food F2 contains 1 unit of vitamins, 2 units of minerals, and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimum requirements.

36. A diet is to contain at least 400 units of vitamins, 500 units of minerals, and 1400 calories. Two foods are available: F1, which costs $0.05 per unit, and F2, which costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit of minerals, and 4 calories; a unit of food F2 contains 1 unit of vitamins, 2 units of minerals, and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimum requirements.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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36. A diet is to contain at least 400 units of vitamins, 500 units of minerals, and 1400 calories. Two foods are available: F1, which costs $0.05 per unit, and F2, which costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit of minerals, and 4 calories; a unit of food F2 contains 1 unit of vitamins, 2 units of minerals, and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimum requirements.
Transcribed Image Text:36. A diet is to contain at least 400 units of vitamins, 500 units of minerals, and 1400 calories. Two foods are available: F1, which costs $0.05 per unit, and F2, which costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit of minerals, and 4 calories; a unit of food F2 contains 1 unit of vitamins, 2 units of minerals, and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimum requirements.
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