IX. Solve using linear programming. 20. Everyday Laura Miller needs a dietary supplement of 4 mg of vitamin A, 11 mg of vitamin B, and 100 mg of vitamin C. Either of two brands of vitamin pills can be used: Brand X at 3¢ a pill or Brand Y at 9¢ a pill. The chart below shows that a Brand X pill supplies 2 mg of vitamin A, 3 mg of vitamin B, and 25 mg of vitamin C. Likewise, a Brand Y pill supplies 1, 4, and 50 mg of vitamins A, B, and C, respectively. How many pills of each brand should she take each day in order to satisfy the minimum daily need most economically? Brand X Brand Y Minimum Daily Need Vitamin A 2 mg I mg 4 mg 3 mg 25 mg 3: 11 mg 100 mg Vitamin B 4 mg Vitamin C 50 mg Cost per pil 8 7 4 3 1 0 1 2 3 6 7 9

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