A pharmaceutical agency manufactures two types of vitamins, vitamin A and vitamin B. Each vitamin A tablet contains, among other things, 500 mg of magnesium and 40 mg of calcium and generates a profit of $0.10 per tablet. A vitamin B tablet contains 100 mg of magnesium and 400 mg of calcium and generates a profit of $0.05 per tablet. Each day, the agency has available 235 kg of magnesium and 156 kg of calcium for use. Assuming all vitamins made are sold, how many of each type of vitamin should be manufactured to maximize profit? Clearly write your objective function and constraints

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A pharmaceutical agency manufactures two types of vitamins, vitamin A and vitamin B. Each vitamin A tablet contains, among other things, 500 mg of magnesium and 40 mg of calcium and generates a profit of $0.10 per tablet. A vitamin B tablet contains 100 mg of magnesium and 400 mg of calcium and generates a profit of $0.05 per tablet. Each day, the agency has available 235 kg of magnesium and 156 kg of calcium for use. Assuming all vitamins made are sold, how many of each type of vitamin should be manufactured to maximize profit? Clearly write your objective function and constraints

 

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