Download JNTUH (Jawaharlal Nehru Technological University Hyderabad) MBA (Master of Business Administration) 2nd Semester (Second Semester) R15 2018 Jan 721CN Quantitative Analysis For Business Decisions Previous Question Paper
Code No: 721CN
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, January-2018
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
Time: 3hours Max.Marks:75
Note: This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit. Each question
carries 10 marks and may have a, b, c as sub questions.
PART - A 5 ? 5Marks = 25
1.a) Choose proper option and right your choice in complete word/s. [5]
I) Operations Research (OR), which is a very powerful tool for ? ?? ?? ? ?? ?? ? ? Research.
i) Decision Making
ii) Operations
iii) None of the above
iv) Both
II) Who coined the term Operations Research?
i) J.F. McCloskey
ii) F.N. Trefethen
iii)P.F. Adams
iv) Both A and B
III) The term Operations Research was coined in the year ?? ?? ?? ?? ? ?? ?? ?
i) 1950
ii) 1940
iii)1978
iv) 1960
IV) This innovative science of Operations Research was discovered during ?? ?? ?? ? ?? ?? ? ?
i) Civil War
ii) World War I
iii) World War II
iv) Industrial Revolution
v) Cold war
V) Operations Research was known as an ability to win a war without really going in to
a ?? ?? ? ?? ?? ? ?? ?
i) Battle field
ii) Fighting
iii) War
iv) Both A and B
b) Solve the following transportation problem (use Vogel?s Method only and check for
optimality). [5]
1 2 3 Capacity
1 2 2 3 10
2 4 1 2 15
3 1 3 1 40
Demand 20 15 30
R15
FirstRanker.com - FirstRanker's Choice
Code No: 721CN
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, January-2018
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
Time: 3hours Max.Marks:75
Note: This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit. Each question
carries 10 marks and may have a, b, c as sub questions.
PART - A 5 ? 5Marks = 25
1.a) Choose proper option and right your choice in complete word/s. [5]
I) Operations Research (OR), which is a very powerful tool for ? ?? ?? ? ?? ?? ? ? Research.
i) Decision Making
ii) Operations
iii) None of the above
iv) Both
II) Who coined the term Operations Research?
i) J.F. McCloskey
ii) F.N. Trefethen
iii)P.F. Adams
iv) Both A and B
III) The term Operations Research was coined in the year ?? ?? ?? ?? ? ?? ?? ?
i) 1950
ii) 1940
iii)1978
iv) 1960
IV) This innovative science of Operations Research was discovered during ?? ?? ?? ? ?? ?? ? ?
i) Civil War
ii) World War I
iii) World War II
iv) Industrial Revolution
v) Cold war
V) Operations Research was known as an ability to win a war without really going in to
a ?? ?? ? ?? ?? ? ?? ?
i) Battle field
ii) Fighting
iii) War
iv) Both A and B
b) Solve the following transportation problem (use Vogel?s Method only and check for
optimality). [5]
1 2 3 Capacity
1 2 2 3 10
2 4 1 2 15
3 1 3 1 40
Demand 20 15 30
R15
c) What is an assignment problem? Give two examples. What is the difference between a
transportation problem and an assignment problem? [5]
d) What are the different criterions of decision making? What is the difference between
decision making under uncertainty and risk? [5]
e) Explain the following terms in the context of queuing models: [5]
(i) Traffic intensity
(ii) Service Channels
(iii) Steady and transient state
(iv) Utilization factor
(v) Queue disipline
PART - B 5 ?10Marks = 50
2. Solve the following example:
Maximize ?? = 4 ?? 1
+ 6 ?? 2
+ 2 ?? 3
;
Subject to,
?? 1
+ ?? 2
+ ?? 3
? 3;
?? 1
+ 4 ?? 2
+ 7 ?? 3
? 9;
?? 1
, ?? 2
, ?? 3
? 0
Solve the LPP. Find the range on the value of non-basic variable coefficient ?? 3
such that
the current solution will still remain optimal. [10]
OR
3. Consider the following LPP problem:
Maximize ?? = ?? 1
+ 2 ?? 2
;
subject to ?? 1
+ 3 ?? 2
? 8;
?? 1
+ ?? 2
? 4;
And
?? 1
? 0, ?? 2
? 0
(a) Use graphical analysis to identify all the corner-point solutions for this model. Label
each as either feasible or infeasible.
(b) Calculate the value of the objective function for each of the CPF solutions. Use this
information to identify an optimal solution. [10]
FirstRanker.com - FirstRanker's Choice
Code No: 721CN
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, January-2018
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
Time: 3hours Max.Marks:75
Note: This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit. Each question
carries 10 marks and may have a, b, c as sub questions.
PART - A 5 ? 5Marks = 25
1.a) Choose proper option and right your choice in complete word/s. [5]
I) Operations Research (OR), which is a very powerful tool for ? ?? ?? ? ?? ?? ? ? Research.
i) Decision Making
ii) Operations
iii) None of the above
iv) Both
II) Who coined the term Operations Research?
i) J.F. McCloskey
ii) F.N. Trefethen
iii)P.F. Adams
iv) Both A and B
III) The term Operations Research was coined in the year ?? ?? ?? ?? ? ?? ?? ?
i) 1950
ii) 1940
iii)1978
iv) 1960
IV) This innovative science of Operations Research was discovered during ?? ?? ?? ? ?? ?? ? ?
i) Civil War
ii) World War I
iii) World War II
iv) Industrial Revolution
v) Cold war
V) Operations Research was known as an ability to win a war without really going in to
a ?? ?? ? ?? ?? ? ?? ?
i) Battle field
ii) Fighting
iii) War
iv) Both A and B
b) Solve the following transportation problem (use Vogel?s Method only and check for
optimality). [5]
1 2 3 Capacity
1 2 2 3 10
2 4 1 2 15
3 1 3 1 40
Demand 20 15 30
R15
c) What is an assignment problem? Give two examples. What is the difference between a
transportation problem and an assignment problem? [5]
d) What are the different criterions of decision making? What is the difference between
decision making under uncertainty and risk? [5]
e) Explain the following terms in the context of queuing models: [5]
(i) Traffic intensity
(ii) Service Channels
(iii) Steady and transient state
(iv) Utilization factor
(v) Queue disipline
PART - B 5 ?10Marks = 50
2. Solve the following example:
Maximize ?? = 4 ?? 1
+ 6 ?? 2
+ 2 ?? 3
;
Subject to,
?? 1
+ ?? 2
+ ?? 3
? 3;
?? 1
+ 4 ?? 2
+ 7 ?? 3
? 9;
?? 1
, ?? 2
, ?? 3
? 0
Solve the LPP. Find the range on the value of non-basic variable coefficient ?? 3
such that
the current solution will still remain optimal. [10]
OR
3. Consider the following LPP problem:
Maximize ?? = ?? 1
+ 2 ?? 2
;
subject to ?? 1
+ 3 ?? 2
? 8;
?? 1
+ ?? 2
? 4;
And
?? 1
? 0, ?? 2
? 0
(a) Use graphical analysis to identify all the corner-point solutions for this model. Label
each as either feasible or infeasible.
(b) Calculate the value of the objective function for each of the CPF solutions. Use this
information to identify an optimal solution. [10]
4. The ABC Corporation has decided to produce three newproducts. Five branch plants
now have excess product capacity. The unit manufacturing cost of the first product
would be 31K, 29K,32K, 28K, and 29K (in rupees) in Plants 1, 2, 3, 4, and 5,
respectively. The unitmanufacturing cost of the second product would be 45K, 41K,
46K, 42K, and 43K(in rupees) in Plants 1, 2, 3, 4, and 5, respectively. The unit
manufacturing cost of the third product would be 38K, 35K, and 40K (all in rupees) in
Plants 1, 2, and 3, respectively, whereas Plants 4 and 5 do not havethe capability for
producing this product. Sales forecasts indicatethat 600, 1,000, and 800 units of products
1, 2, and 3, respectively,should be produced per day. Plants 1, 2, 3, 4, and 5 have the
capacityto produce 400, 600, 400, 600, and 1,000 units daily, respectively,regardless of
the product or combination of products involved.
Assume that any plant having the capability and capacity to produce them can produce
any combination of the products in any quantity.
Management wishes to know how to allocate the new products to the plants to minimize
total manufacturing cost.
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Obtain an optimal solution. [10]
OR
5. A canning company operates two canning plants, A and B. Three grower are willing to
supply the following amounts of fresh fruits:
Kumar 200 tons at Rs. 100 per ton
Raja 300 tons at Rs. 90 per ton
Vimal 400 tons at Rs. 80 per ton
Shipping costs in rupees per ton is given in the following table.
From
To
Plant A Plant B
Kumar 20 20.50
Raja 10 10.50
Vimal 50 30.00
Plant capacities and labour costs are as follows:
Plant A Plant B
Capacity 450 tons 550 tons
Labour Cost Rs. 25/ton Rs. 20/ton
The canned fruits are sold at Rs. 250 per ton to the distributors. The company can sell at
this price, the entire quantity it produces. How should the company plan its operations at
two plants so as to maximize profits? [10]
6. JoShop wants to assign for different categories of machines of five types of tasks. The
number of machines available in the four categories are 25, 30 20, and 30. The number
of jobs in the five tasks are 20, 20, 30, 10, and 25. Machine category 4 cannot be
assigned to task type 4. The following table provides the unit cost (in dollars) of
assigning a machine category to a task type. Solve the problem and interpret the
solution. [10]
FirstRanker.com - FirstRanker's Choice
Code No: 721CN
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, January-2018
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
Time: 3hours Max.Marks:75
Note: This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit. Each question
carries 10 marks and may have a, b, c as sub questions.
PART - A 5 ? 5Marks = 25
1.a) Choose proper option and right your choice in complete word/s. [5]
I) Operations Research (OR), which is a very powerful tool for ? ?? ?? ? ?? ?? ? ? Research.
i) Decision Making
ii) Operations
iii) None of the above
iv) Both
II) Who coined the term Operations Research?
i) J.F. McCloskey
ii) F.N. Trefethen
iii)P.F. Adams
iv) Both A and B
III) The term Operations Research was coined in the year ?? ?? ?? ?? ? ?? ?? ?
i) 1950
ii) 1940
iii)1978
iv) 1960
IV) This innovative science of Operations Research was discovered during ?? ?? ?? ? ?? ?? ? ?
i) Civil War
ii) World War I
iii) World War II
iv) Industrial Revolution
v) Cold war
V) Operations Research was known as an ability to win a war without really going in to
a ?? ?? ? ?? ?? ? ?? ?
i) Battle field
ii) Fighting
iii) War
iv) Both A and B
b) Solve the following transportation problem (use Vogel?s Method only and check for
optimality). [5]
1 2 3 Capacity
1 2 2 3 10
2 4 1 2 15
3 1 3 1 40
Demand 20 15 30
R15
c) What is an assignment problem? Give two examples. What is the difference between a
transportation problem and an assignment problem? [5]
d) What are the different criterions of decision making? What is the difference between
decision making under uncertainty and risk? [5]
e) Explain the following terms in the context of queuing models: [5]
(i) Traffic intensity
(ii) Service Channels
(iii) Steady and transient state
(iv) Utilization factor
(v) Queue disipline
PART - B 5 ?10Marks = 50
2. Solve the following example:
Maximize ?? = 4 ?? 1
+ 6 ?? 2
+ 2 ?? 3
;
Subject to,
?? 1
+ ?? 2
+ ?? 3
? 3;
?? 1
+ 4 ?? 2
+ 7 ?? 3
? 9;
?? 1
, ?? 2
, ?? 3
? 0
Solve the LPP. Find the range on the value of non-basic variable coefficient ?? 3
such that
the current solution will still remain optimal. [10]
OR
3. Consider the following LPP problem:
Maximize ?? = ?? 1
+ 2 ?? 2
;
subject to ?? 1
+ 3 ?? 2
? 8;
?? 1
+ ?? 2
? 4;
And
?? 1
? 0, ?? 2
? 0
(a) Use graphical analysis to identify all the corner-point solutions for this model. Label
each as either feasible or infeasible.
(b) Calculate the value of the objective function for each of the CPF solutions. Use this
information to identify an optimal solution. [10]
4. The ABC Corporation has decided to produce three newproducts. Five branch plants
now have excess product capacity. The unit manufacturing cost of the first product
would be 31K, 29K,32K, 28K, and 29K (in rupees) in Plants 1, 2, 3, 4, and 5,
respectively. The unitmanufacturing cost of the second product would be 45K, 41K,
46K, 42K, and 43K(in rupees) in Plants 1, 2, 3, 4, and 5, respectively. The unit
manufacturing cost of the third product would be 38K, 35K, and 40K (all in rupees) in
Plants 1, 2, and 3, respectively, whereas Plants 4 and 5 do not havethe capability for
producing this product. Sales forecasts indicatethat 600, 1,000, and 800 units of products
1, 2, and 3, respectively,should be produced per day. Plants 1, 2, 3, 4, and 5 have the
capacityto produce 400, 600, 400, 600, and 1,000 units daily, respectively,regardless of
the product or combination of products involved.
Assume that any plant having the capability and capacity to produce them can produce
any combination of the products in any quantity.
Management wishes to know how to allocate the new products to the plants to minimize
total manufacturing cost.
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Obtain an optimal solution. [10]
OR
5. A canning company operates two canning plants, A and B. Three grower are willing to
supply the following amounts of fresh fruits:
Kumar 200 tons at Rs. 100 per ton
Raja 300 tons at Rs. 90 per ton
Vimal 400 tons at Rs. 80 per ton
Shipping costs in rupees per ton is given in the following table.
From
To
Plant A Plant B
Kumar 20 20.50
Raja 10 10.50
Vimal 50 30.00
Plant capacities and labour costs are as follows:
Plant A Plant B
Capacity 450 tons 550 tons
Labour Cost Rs. 25/ton Rs. 20/ton
The canned fruits are sold at Rs. 250 per ton to the distributors. The company can sell at
this price, the entire quantity it produces. How should the company plan its operations at
two plants so as to maximize profits? [10]
6. JoShop wants to assign for different categories of machines of five types of tasks. The
number of machines available in the four categories are 25, 30 20, and 30. The number
of jobs in the five tasks are 20, 20, 30, 10, and 25. Machine category 4 cannot be
assigned to task type 4. The following table provides the unit cost (in dollars) of
assigning a machine category to a task type. Solve the problem and interpret the
solution. [10]
Machine
Category
Task Type
1 2 3 4 5
1 10 2 3 15 9
2 5 10 15 2 4
3 15 5 14 7 15
4 20 15 13 - 8
OR
7. The Cost matrix is given below. Solve it as an assignment problem and write your
findings. [10]
Task
1 2 3 4
Assignee
A 4 1 0 1
B 1 3 4 0
C 3 2 1 3
D 2 2 3 0
8. For a game played between two players the payoff of the first player is given in the
following table:
Strategy
Player 2
1 2 3 4
Player 1
1 3 -3 -2 -4
2 -4 -2 -1 1
3 1 -1 2 0
Solve the game using at least two criterions. [10]
OR
9. Consider the game having the following payoff table.
Strategy
Player 2
1 2 3 4
Player 1
1 5 -7 -2 2
2 -2 2 -5 5
3 -2 5 -2 7
Determine the optimal strategy for each player by successively eliminating dominated
strategy. What is the value of the game? Can we call the game as a fair game? [10]
FirstRanker.com - FirstRanker's Choice
Code No: 721CN
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, January-2018
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
Time: 3hours Max.Marks:75
Note: This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit. Each question
carries 10 marks and may have a, b, c as sub questions.
PART - A 5 ? 5Marks = 25
1.a) Choose proper option and right your choice in complete word/s. [5]
I) Operations Research (OR), which is a very powerful tool for ? ?? ?? ? ?? ?? ? ? Research.
i) Decision Making
ii) Operations
iii) None of the above
iv) Both
II) Who coined the term Operations Research?
i) J.F. McCloskey
ii) F.N. Trefethen
iii)P.F. Adams
iv) Both A and B
III) The term Operations Research was coined in the year ?? ?? ?? ?? ? ?? ?? ?
i) 1950
ii) 1940
iii)1978
iv) 1960
IV) This innovative science of Operations Research was discovered during ?? ?? ?? ? ?? ?? ? ?
i) Civil War
ii) World War I
iii) World War II
iv) Industrial Revolution
v) Cold war
V) Operations Research was known as an ability to win a war without really going in to
a ?? ?? ? ?? ?? ? ?? ?
i) Battle field
ii) Fighting
iii) War
iv) Both A and B
b) Solve the following transportation problem (use Vogel?s Method only and check for
optimality). [5]
1 2 3 Capacity
1 2 2 3 10
2 4 1 2 15
3 1 3 1 40
Demand 20 15 30
R15
c) What is an assignment problem? Give two examples. What is the difference between a
transportation problem and an assignment problem? [5]
d) What are the different criterions of decision making? What is the difference between
decision making under uncertainty and risk? [5]
e) Explain the following terms in the context of queuing models: [5]
(i) Traffic intensity
(ii) Service Channels
(iii) Steady and transient state
(iv) Utilization factor
(v) Queue disipline
PART - B 5 ?10Marks = 50
2. Solve the following example:
Maximize ?? = 4 ?? 1
+ 6 ?? 2
+ 2 ?? 3
;
Subject to,
?? 1
+ ?? 2
+ ?? 3
? 3;
?? 1
+ 4 ?? 2
+ 7 ?? 3
? 9;
?? 1
, ?? 2
, ?? 3
? 0
Solve the LPP. Find the range on the value of non-basic variable coefficient ?? 3
such that
the current solution will still remain optimal. [10]
OR
3. Consider the following LPP problem:
Maximize ?? = ?? 1
+ 2 ?? 2
;
subject to ?? 1
+ 3 ?? 2
? 8;
?? 1
+ ?? 2
? 4;
And
?? 1
? 0, ?? 2
? 0
(a) Use graphical analysis to identify all the corner-point solutions for this model. Label
each as either feasible or infeasible.
(b) Calculate the value of the objective function for each of the CPF solutions. Use this
information to identify an optimal solution. [10]
4. The ABC Corporation has decided to produce three newproducts. Five branch plants
now have excess product capacity. The unit manufacturing cost of the first product
would be 31K, 29K,32K, 28K, and 29K (in rupees) in Plants 1, 2, 3, 4, and 5,
respectively. The unitmanufacturing cost of the second product would be 45K, 41K,
46K, 42K, and 43K(in rupees) in Plants 1, 2, 3, 4, and 5, respectively. The unit
manufacturing cost of the third product would be 38K, 35K, and 40K (all in rupees) in
Plants 1, 2, and 3, respectively, whereas Plants 4 and 5 do not havethe capability for
producing this product. Sales forecasts indicatethat 600, 1,000, and 800 units of products
1, 2, and 3, respectively,should be produced per day. Plants 1, 2, 3, 4, and 5 have the
capacityto produce 400, 600, 400, 600, and 1,000 units daily, respectively,regardless of
the product or combination of products involved.
Assume that any plant having the capability and capacity to produce them can produce
any combination of the products in any quantity.
Management wishes to know how to allocate the new products to the plants to minimize
total manufacturing cost.
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Obtain an optimal solution. [10]
OR
5. A canning company operates two canning plants, A and B. Three grower are willing to
supply the following amounts of fresh fruits:
Kumar 200 tons at Rs. 100 per ton
Raja 300 tons at Rs. 90 per ton
Vimal 400 tons at Rs. 80 per ton
Shipping costs in rupees per ton is given in the following table.
From
To
Plant A Plant B
Kumar 20 20.50
Raja 10 10.50
Vimal 50 30.00
Plant capacities and labour costs are as follows:
Plant A Plant B
Capacity 450 tons 550 tons
Labour Cost Rs. 25/ton Rs. 20/ton
The canned fruits are sold at Rs. 250 per ton to the distributors. The company can sell at
this price, the entire quantity it produces. How should the company plan its operations at
two plants so as to maximize profits? [10]
6. JoShop wants to assign for different categories of machines of five types of tasks. The
number of machines available in the four categories are 25, 30 20, and 30. The number
of jobs in the five tasks are 20, 20, 30, 10, and 25. Machine category 4 cannot be
assigned to task type 4. The following table provides the unit cost (in dollars) of
assigning a machine category to a task type. Solve the problem and interpret the
solution. [10]
Machine
Category
Task Type
1 2 3 4 5
1 10 2 3 15 9
2 5 10 15 2 4
3 15 5 14 7 15
4 20 15 13 - 8
OR
7. The Cost matrix is given below. Solve it as an assignment problem and write your
findings. [10]
Task
1 2 3 4
Assignee
A 4 1 0 1
B 1 3 4 0
C 3 2 1 3
D 2 2 3 0
8. For a game played between two players the payoff of the first player is given in the
following table:
Strategy
Player 2
1 2 3 4
Player 1
1 3 -3 -2 -4
2 -4 -2 -1 1
3 1 -1 2 0
Solve the game using at least two criterions. [10]
OR
9. Consider the game having the following payoff table.
Strategy
Player 2
1 2 3 4
Player 1
1 5 -7 -2 2
2 -2 2 -5 5
3 -2 5 -2 7
Determine the optimal strategy for each player by successively eliminating dominated
strategy. What is the value of the game? Can we call the game as a fair game? [10]
10.a) Explain a typical queuing system with required assumptions. What is an M/M/s system?
Explain.
b) A repairman is to be hired to repair machines which break down at an average rate of
three per hour. Breakdowns are distributed in a manner that may be regarded as Poisson.
Non-productive time on any one machine is considered to cost the company $5 per hour.
The company has narrowed down to two repairman one slow but cheap and the other
fast but expensive. The slow cheap repairman asks $3 per hour; in return he will service
breakdown machines at an average rate of four per hour. The fast expensive repairman
demands $5 an hour, and will repair machines exponentially at an average rate of
six per hour. Which repairman should be hired? [10]
OR
11. The Garrett-Tompkins Company provides three copymachines in its copying room for
the use of its employees. However, due to recent complaints about considerable time
being wasted waiting for a copier to become free, management is consideringadding one
or more additional copy machines. During the 2,000 working hours per year, employees
arrive atthe copying room according to a Poisson process at a mean rate of 30 per hour.
The time each employee needs with a copy machineis believed to have an exponential
distribution with a mean of 5minutes. The lost productivity due to an employee spending
time in the copying room is estimated to cost the company an average of $25 per hour.
Each copy machine is leased for $3,000 per year. Determine how many copy machines
the company should have to minimize its expected total cost per hour. [10]
--ooOoo--
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This post was last modified on 23 October 2020