A dietitian arranges a special diet using foods L, M, and N. The table gives the nutritional contents and cost of 1 ounce of each food. The diet’s daily requirements are at least 400 units of calcium, at least 200 units of iron, at least 300 units of vitamin A, at most 150 units of cholesterol, and at most 900 calories. How many ounces of each food should be used in order to meet the diet’s requirements at a minimal cost?

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Units per Bottle L M N Calcium 30 10 30 Iron 10 10 10 Vitamin A 10 30 20 Cholesterol 8 4 Calories 60 40 50 Cost per ounce ($) 0.40 0.60 0.80