A diet is to contain at least 1240 units of carbohydrates, 1910 units of proteins, and 2030 calories. Two foods are available: F, which costs $ per unit and F₂, which costs $0.07 per unit. A unit of food F₁ contains 1 units of carbohydrates, 2 units of proteins and 3 calories. A unit of food F₂ contains 9 units of carbohydrates, 8 units of proteins and 7 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements. Corner points of the feasible region: If there is more than one corner point, type the points separated by a comma (.e. (1.2).(3,4)). Minimum cost is: $ when Fi and F₂- units units.

A diet is to contain at least 1240 units of carbohydrates, 1910 units of proteins, and 2030 calories. Two foods are available: F, which costs $ per unit and F₂, which costs $0.07 per unit. A unit of food F₁ contains 1 units of carbohydrates, 2 units of proteins and 3 calories. A unit of food F₂ contains 9 units of carbohydrates, 8 units of proteins and 7 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements. Corner points of the feasible region: If there is more than one corner point, type the points separated by a comma (.e. (1.2).(3,4)). Minimum cost is: $ when Fi and F₂- units units.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 41E

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