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A Drug Company produces a drug from two ingredients. Each ingredient contains the same three (3) antibiotics in different proportions. Each Ingredient A produced results in P80 in cost, each Ingredient B results in P50 in cost. The production of the antibiotics is dependent on the availability of limited resources. The resource requirements are as follows;
Ingredient A Ingredient B Available Unit
Antibiotic 1 3 1 6
Antibiotic 2 1 1 4
Antibiotic 3 2 6 12
The company wants to determine the number of grams of Ingredient A and B that must go in to drug in order to meet the antibiotics minimum requirements at the minimum cost.
(Use Graphical Method)
1. What are the decision variables?
2. What is the objective function?
3. How many Model A should be made?
4. How many model B should be made?
5. What is the total profit?
(Use Simplex method)
6. In tableau No. 1, what is the entering variable of the optimum column?
7. In tableau No. 2. what is the leaving variable of the replacing row?
8. In the final tableau, what is the value of the profit?
9. What is the objective function?
10. In tableau no. 1. what is/are the content/s of the optimum column?
A vegetable farmer in Bulacan ships 1,000 baskets of vegetables on a freight car daily to Sampaloc Manila. He must ship at least 450 baskets of lettuce and at most 150 baskets of celery. Furthermore, his profits are P175 per basket of lettuce and P200 per basket of celery. Determine the manner in which he should be loading the freight car in order to maximize his profit.
(Use Graphical Method)
1. What are the decision variables?
2. What is the objective function?
3. How many Model A should be made?
4. How many model B should be made?
5. What is the total profit?
(Use Simplex method)
6. In tableau No. 1. what is the entering variable of the optimum column?
7. In tableau No. 2. what is the leaving variable of the replacing row?
8. In the final tableau, what is the value of the profit?
9. What is the objective function?
10. In tableau no. 1. what is/are the content/s of the optimum column?
Prof. JASMIN B. JOCSON
A Drug Company produces a drug from two ingredients. Each ingredient contains the same three (3) antibiotics in different proportions. Each Ingredient A produced results in P80 in cost, each Ingredient B results in P50 in cost. The production of the antibiotics is dependent on the availability of limited resources. The resource requirements are as follows;
Ingredient A Ingredient B Available Unit
Antibiotic 1 3 1 6
Antibiotic 2 1 1 4
Antibiotic 3 2 6 12
The company wants to determine the number of grams of Ingredient A and B that must go in to drug in order to meet the antibiotics minimum requirements at the minimum cost.
(Use Graphical Method)
1. What are the decision variables?
2. What is the objective function?
3. How many Model A should be made?
4. How many model B should be made?
5. What is the total profit?
(Use Simplex method)
6. In tableau No. 1, what is the entering variable of the optimum column?
7. In tableau No. 2. what is the leaving variable of the replacing row?
8. In the final tableau, what is the value of the profit?
9. What is the objective function?
10. In tableau no. 1. what is/are the content/s of the optimum column?
A vegetable farmer in Bulacan ships 1,000 baskets of vegetables on a freight car daily to Sampaloc Manila. He must ship at least 450 baskets of lettuce and at most 150 baskets of celery. Furthermore, his profits are P175 per basket of lettuce and P200 per basket of celery. Determine the manner in which he should be loading the freight car in order to maximize his profit.
(Use Graphical Method)
1. What are the decision variables?
2. What is the objective function?
3. How many Model A should be made?
4. How many model B should be made?
5. What is the total profit?
(Use Simplex method)
6. In tableau No. 1. what is the entering variable of the optimum column?
7. In tableau No. 2. what is the leaving variable of the replacing row?
8. In the final tableau, what is the value of the profit?
9. What is the objective function?
10. In tableau no. 1. what is/are the content/s of the optimum column?
Prof. JASMIN B. JOCSON
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