A diet is to contain at least 944 units of carbohydrates, 2276 units of proteins, and 2280 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 1 units of carbohydrates, 4 units of proteins and 5 calories. A unit of food F₂ contains 9 units of carbohydrates, 6 units of proteins and 5 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.
