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 Php 50 per kg to purchase Food A and Php 70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture. a. Define the decision variables b. Write the LP model c. Determine the feasible region d. Determine the optimal solution e. Final answer: Interpret the result

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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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 Php 50 per kg to purchase Food A and Php 70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture. a. Define the decision variables b. Write the LP model c. Determine the feasible region d. Determine the optimal solution e. Final answer: Interpret the result
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