A diet is to contain at least 2176 units of carbohydrates, 2444 units of proteins, and 1792 calories. Two foods are available: F₁ which costs $0.01 per unit and F₂, which costs $0.03 per unit. A unit of food F₁ contains 4 units of carbohydrates, 6 units of proteins and 8 calories. A unit of food F₂ contains 6 units of carbohydrates, 4 units of proteins and 2 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 =______ units
and F₂ = _____ units
