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A diet is to contain at least 2470 mg vitamin C, 2260 mg Calcium, and 1750 calories every day. Two foods, a dairy-based meal
A diet is to contain at least 2470 mg vitamin C, 2260 mg Calcium, and 1750 calories every day. Two foods, a dairy-based meal and a vegan option are to fulfill these requirements. Each ounce of the dairy-based meal provides 40 mg vitamin C, 20 mg Calcium, and 30 calories. Each ounce of the vegan option provides 30 mg vitamin C, 40 mg Calcium, and 20 calories. Suppose the dairy-based meal costs $0.23 per ounce and the vegan option costs $0.25 per ounce. The goal is to meet dietary requirements while minimizing costs. How many variables will the dual of this problem have? 3 How many constraints (excluding nonnegativity) will the dual of this problem have? 2 How many ounces of each food should be purchased to minimize costs? Dairy-based meal: ounces Vegan option: ounces What is the minimum daily cost? Minimum cost: $
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