This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. -Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. -Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 (Philippine peso) per kg to purchase Food A and ₱70 (Philippine peso) per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture.
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. -Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. -Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 (Philippine peso) per kg to purchase Food A and ₱70 (Philippine peso) per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture.
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 33E
Related questions
Question
DIRECTION:
Construct the Linear Programming or LP model, then solve. Please show complete, neat and orderly solution.
PROBLEM:
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C.
-Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C.
-Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C.
It costs ₱50 (Philippine peso) per kg to purchase Food A and ₱70 (Philippine peso) per kg to purchase Food B.
Formulate this problem as a linear programming problem to minimize the cost of such a mixture.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning