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 P70 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 DIFI

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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 P50 per kg to
purchase Food A and P70 per kg to purchase Food B. Formulate this problem as a linear
programming problem to minimize the cost of sucha mixture.
a. Define the decision variables
b. Write the LP model
c. Determine the feasible region
EDIFI
d. Determine the optimal solution
e. Final answer: (interpret the result)
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 P70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of sucha mixture. a. Define the decision variables b. Write the LP model c. Determine the feasible region EDIFI d. Determine the optimal solution e. Final answer: (interpret the result)
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