A diet is to contain at least 1116 units of carbohydrates, 1742 units of proteins, and 1918 calories. Two foods are available: F1 which costs $0.05 per unit and F2, which costs $0.09 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 mixture of these two foods and also meets the minimal nutrition requirements.