A diet is to contain at least 1614 units of carbohydrates, 2166 units of proteins, and 1764 calories. Two foods are available: F₁ which costs $ 0.03 per unit and F₂, which costs $ 0.06 per unit. A unit of food F₁ contains 3 units of carbohydrates, 7 units of proteins and 8 calories. A unit of food F₂ contains 7 units of carbohydrates, 3 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.
