A diet is to contain at least 1186 units of carbohydrates, 1832 units of proteins, and 2124 calories. Two toods are available: F₁ which costs $0.08 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 4 calories. A unit of food F₂ contains 9 units of carbohydrates, 8 units of proteins and 6 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.