A diet is to contain at least 1596 units of carbohydrates, 2700 units of proteins, and 2568 calories. Two foods are available: F₁ which costs $0.02 per unit and F2, which costs $0.04 per unit. A unit of food F₁ contains 2 units of carbohydrates, 5 units of proteins and 6 calories. A unit of food F2 contains 8 units of carbohydrates, 5 units of proteins and 4 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 (i.e (1,2), (3,4)). Minimum cost is: $ when F₁ and F2 = = units units.
A diet is to contain at least 1596 units of carbohydrates, 2700 units of proteins, and 2568 calories. Two foods are available: F₁ which costs $0.02 per unit and F2, which costs $0.04 per unit. A unit of food F₁ contains 2 units of carbohydrates, 5 units of proteins and 6 calories. A unit of food F2 contains 8 units of carbohydrates, 5 units of proteins and 4 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 (i.e (1,2), (3,4)). Minimum cost is: $ when F₁ and F2 = = units units.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A diet is to contain at least 1596 units of carbohydrates, 2700 units of proteins,
and 2568 calories. Two foods are available: F₁ which costs $0.02 per unit and
F2, which costs $0.04 per unit. A unit of food F₁ contains 2 units of
carbohydrates, 5 units of proteins and 6 calories. A unit of food F₂ contains 8
units of carbohydrates, 5 units of proteins and 4 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 (i.e.
(1,2),(3,4)).
Minimum cost is: $
when F₁ =
and F2 =
units
units.
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