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?
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...
Related questions
Question
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?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)