14. Which of the following is NOT a corner point? (b) (3, 1) (a) (1,3) (c) (0,6) (d) (6,0) 15. Let be the quantity of ingredient A and be the quantity of ingredient B. What is the objective function? (a) Minimize z = 80x1 +50x2 (b)Minimize z = 50x1+80x2 (c) Maximize z = 80x₁ +50x₂ (d) Maximize z = 50x₁+80x2 16. In the second simplex tableau, what is the leaving variable? (a) S₁ (b) x1 (c) A₁ (d) S3

Practical Management Science
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Operation research 1:

Answer it using Simplex method 

Consider the given problem below for answering question number 14-20. Show all
necessary solution to get the full credit. A Drug Company produces a certain drug from
two ingredients. Each ingredient contains the same three antibiotics in different proportions. In-
gredient A produced results in Php80 in cost; each ingredient B results in Php50 in cost. The
production of the antibiotics is dependent on the availability of limited sources. The resource
requirements for the production are as follows:
Antibiotic number | Ingredient A Ingredient B
Antibiotic 1
3 units
1 unit
Antibiotic 2
1 unit
lunits
2 units
Antibiotic 3
6 unit
14. Which of the following is NOT a corner point?
(a) (1,3)
(b) (3, 1)
The company wants to determine the number of grams of each ingredient A and B must go on
into the drug in order to meet the antibiotic's minimum requirements of the minimum cost.
(a) Minimize z = 80x₁ + 50x2
(b)Minimize z = 50x₁+80x2
(c) (0,6)
(d) (6,0)
15. Let be the quantity of ingredient A and be the quantity of ingredient B. What is the objective
function?
16. In the second simplex tableau, what is the leaving variable?
(a) S₁
(b) x1
(c) A₁
Minimum Requirement
(c) Maximize z = 80x₁ + 50x2
(d) Maximize z = 50x₁ + 80x2
19. What is the optimum quantity ₁ for ingredient A?
(a) 3
(b) 4
(c) 5
20. How much is the minimum cost?
(a) Php 220
(b) Php 230
6
4
12
17. In the 3rd simplex tableau, what is the minimum cost?
(a) Php 60
(b) Php 70
(c) Php 80
(d) Php 90
18. In the 4th simplex tableau, what is the maximum value of the of the surplus variables? (a) 1
(c) Php 240
(d) S3
(d) 6
(d) Php 250
Transcribed Image Text:Consider the given problem below for answering question number 14-20. Show all necessary solution to get the full credit. A Drug Company produces a certain drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. In- gredient A produced results in Php80 in cost; each ingredient B results in Php50 in cost. The production of the antibiotics is dependent on the availability of limited sources. The resource requirements for the production are as follows: Antibiotic number | Ingredient A Ingredient B Antibiotic 1 3 units 1 unit Antibiotic 2 1 unit lunits 2 units Antibiotic 3 6 unit 14. Which of the following is NOT a corner point? (a) (1,3) (b) (3, 1) The company wants to determine the number of grams of each ingredient A and B must go on into the drug in order to meet the antibiotic's minimum requirements of the minimum cost. (a) Minimize z = 80x₁ + 50x2 (b)Minimize z = 50x₁+80x2 (c) (0,6) (d) (6,0) 15. Let be the quantity of ingredient A and be the quantity of ingredient B. What is the objective function? 16. In the second simplex tableau, what is the leaving variable? (a) S₁ (b) x1 (c) A₁ Minimum Requirement (c) Maximize z = 80x₁ + 50x2 (d) Maximize z = 50x₁ + 80x2 19. What is the optimum quantity ₁ for ingredient A? (a) 3 (b) 4 (c) 5 20. How much is the minimum cost? (a) Php 220 (b) Php 230 6 4 12 17. In the 3rd simplex tableau, what is the minimum cost? (a) Php 60 (b) Php 70 (c) Php 80 (d) Php 90 18. In the 4th simplex tableau, what is the maximum value of the of the surplus variables? (a) 1 (c) Php 240 (d) S3 (d) 6 (d) Php 250
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