Question

A diet is to contain at least 1184 units of carbohydrates, 1908 unts of proteins, and 2142 calones. Two foods are avalable F₁ which costs $0.05 per unit and F₂, which costs $0.08 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 modure of these two foods and also meets the minimal nutrition requrements
Corner points of the feasible region.
If there is more than one corner point, type the points separated by a comma (1).(1,2),(3,4))
Minimum cost is: s_______
then F₁= ___________unts.
and F₂= ___________units

Answer 1

The question is about solving a linear programming problem to determine the minimum cost diet that fulfills the nutritional requirements using two foods. It involves setting up inequalities based on nutritional content and costs, finding the feasible region, and calculating the minimum cost.

Step-by-step explanation:

The student is asking for help with a linear programming problem in which the goal is to find the minimum cost for a diet that meets certain nutritional requirements using a mixture of two foods, F₁ and F₂. The problem involves forming equations based on the attributes of each food including cost, carbohydrates, proteins, and calories, and then solving these equations to find the optimal mix of foods that meets the nutritional needs at the lowest cost.

Using the given information, one would set up a system of inequalities to represent the constraints and use either a graphical method or simplex method to find the corner points of the feasible region, after which the minimum cost can be calculated. However, without specific values or the complete problem setup, we are unable to provide the exact corner points or the minimum cost.