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Using linear programming model (graphical method).  PROBLEM: Brian, who is currently hospitalized, was prescribed to take vitamin supplements to improve his immunity. Each day, he must take at least 16 units of Energy X, at least 5 units of Energy Y, and at least 20 units of Energy Z. He can choose either tablets or capsules. Each tablet contains 8 units of Energy X, 1 unit of Energy Y, and 2 units of Energy 7. Meanwhile each capsule contains 2 units of Energy X, 1 unit of Energy Y and 7 units of Energy Z. The cost per tablet is $15, and $30 per capsule. How many tablets and capsules should he buy in order to minimize his cost?

Using linear programming model (graphical method).  PROBLEM: Brian, who is currently hospitalized, was prescribed to take vitamin supplements to improve his immunity. Each day, he must take at least 16 units of Energy X, at least 5 units of Energy Y, and at least 20 units of Energy Z. He can choose either tablets or capsules. Each tablet contains 8 units of Energy X, 1 unit of Energy Y, and 2 units of Energy 7. Meanwhile each capsule contains 2 units of Energy X, 1 unit of Energy Y and 7 units of Energy Z. The cost per tablet is $15, and $30 per capsule. How many tablets and capsules should he buy in order to minimize his cost?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 32E
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Using linear programming model (graphical method). 

PROBLEM: Brian, who is currently hospitalized, was prescribed to take vitamin supplements to improve his immunity. Each day, he must take at least 16 units of Energy X, at least 5 units of Energy Y, and at least 20 units of Energy Z. He can choose either tablets or capsules. Each tablet contains 8 units of Energy X, 1 unit of Energy Y, and 2 units of Energy 7. Meanwhile each capsule contains 2 units of Energy X, 1 unit of Energy Y and 7 units of Energy Z. The cost per tablet is $15, and $30 per capsule. How many tablets and capsules should he buy in order to minimize his cost?

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