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 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 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture and find the optimal solution graphically.
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 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 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture and find the optimal solution graphically.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 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
per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as
a linear programming problem to minimize the cost of such a mixture and find the optimal
solution graphically.
Transcribed Image Text: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 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 P50
per kg to purchase Food A and P7O per kg to purchase Food B. Formulate this problem as
a linear programming problem to minimize the cost of such a mixture and find the optimal
solution graphically.
Transcribed Image Text: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 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 P50
per kg to purchase Food A and P7O per kg to purchase Food B. Formulate this problem as
a linear programming problem to minimize the cost of such a mixture and find the optimal
solution graphically.
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