A diet is to contain at least 400 units of vitamins, 500 units of minerals, and 1400 calories. Two foods are available F1, which costs $0.05 per unit, and F2, which costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit of minerals, and 4 calories; a unit of food F2 contains 1 unit of vitamins, 2 units of minerals, and 4 calories. Find the minimum cost for a diet that consists of a mixture of these 2 foods and also meets the nutrition requirements.
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