6. A pharmaceutical company makes two types of vitamins at its New Jersey plant: a high-potency antioxidant vitamin and a vitamin enriched with added calcium. Each high-potency vitamin contains, among other things, 500 mg of vitamin C and 40 mg of calcium and generates a profit of $O. 10 per tablet. A calcium-enriched vitamin tablet contains 100 mg of vitamin C and 400 mg of calcium and generates a profit of $0.05 per tablet. Each day the company has 235 kg of vitamin C and 156 kg of calcium available for use. Assuming all vitamins made are sold, how many of each type of vitamin should be manufactured to maximize profit?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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6. A pharmaceutical company makes two types of vitamins at its New Jersey plant: a high-potency antioxidant vitamin and a vitamin enriched with added calcium. Each high-potency vitamin contains, among other things, 500 mg of vitamin C and 40 mg of calcium and generates a profit of $O. 10 per tablet. A calcium-enriched vitamin tablet contains 100 mg of vitamin C and 400 mg of calcium and generates a profit of $0.05 per tablet. Each day the company has 235 kg of vitamin C and 156 kg of calcium available for use. Assuming all vitamins made are sold, how many of each type of vitamin should be manufactured to maximize profit?
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