Download JNTUH (Jawaharlal Nehru Technological University Hyderabad) MBA (Master of Business Administration) 2nd Semester (Second Semester) R17 2018 Dec 742AD Quantitative Analysis For Business Decisions Previous Question Paper
Code No: 742AD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, December - 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 ? 5 Marks = 25
1.a) How do Operations Research methods help executives take better business
decisions? [5]
b) What is degeneracy and cycling in linear programming? How does one resolve this?
[5]
c) How does transportation problem differ from assignment problem? [5]
d) If a company has several independent investment opportunities, each of which has
an equal chance of gaining Rs.1,00,000 or losing Rs.60,000. What is the probability
that the company will lose money in two such investments and in three investments?
[5]
e) Player A paid Rs.8 if two coins turn both heads and Rs.10 if two coins turn both
tails. Player B is paid Rs. 3 when two coins do not match. Given the choice of
being A or B which one would you choose and what would be your strategy? [5]
PART - B 5 ? 10 Marks = 50
2.a) What are the opportunities and shortcomings of operations research approach?
b) What is mathematical model? What is its relevance in OR? [5+5]
OR
3.a) What is the scope for application of OR in production, inventory management and
distribution?
b) How do you test and validate a model? [5+5]
4. A company produces two types of pens A and B. Pen A is of superior quality and pen
B of inferior quality. Profit on pen A and pen B are Rs.5 and Rs.3 per pen
respectively. Raw material required for each pen A is twice as that of pen B. The
supply of raw material is sufficient only for 1000 pens of B per day. Pen A requires a
special clip and only 400 clips are available per day. For pen B only 700 clips are
available per day. Find graphically the product mix so that the company can make
maximum profit. [10]
OR
R17
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Code No: 742AD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, December - 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 ? 5 Marks = 25
1.a) How do Operations Research methods help executives take better business
decisions? [5]
b) What is degeneracy and cycling in linear programming? How does one resolve this?
[5]
c) How does transportation problem differ from assignment problem? [5]
d) If a company has several independent investment opportunities, each of which has
an equal chance of gaining Rs.1,00,000 or losing Rs.60,000. What is the probability
that the company will lose money in two such investments and in three investments?
[5]
e) Player A paid Rs.8 if two coins turn both heads and Rs.10 if two coins turn both
tails. Player B is paid Rs. 3 when two coins do not match. Given the choice of
being A or B which one would you choose and what would be your strategy? [5]
PART - B 5 ? 10 Marks = 50
2.a) What are the opportunities and shortcomings of operations research approach?
b) What is mathematical model? What is its relevance in OR? [5+5]
OR
3.a) What is the scope for application of OR in production, inventory management and
distribution?
b) How do you test and validate a model? [5+5]
4. A company produces two types of pens A and B. Pen A is of superior quality and pen
B of inferior quality. Profit on pen A and pen B are Rs.5 and Rs.3 per pen
respectively. Raw material required for each pen A is twice as that of pen B. The
supply of raw material is sufficient only for 1000 pens of B per day. Pen A requires a
special clip and only 400 clips are available per day. For pen B only 700 clips are
available per day. Find graphically the product mix so that the company can make
maximum profit. [10]
OR
R17
5. A firm manufacturing a single product has three plants I, II and III. They have
produced 60,35 and 40 units respectively during this month. The firm had made a
commitment to sell 22 units to customer A, 45 units to customer B, 20 units to
customer C, 18 units to customer D and 30 units to customer E. Find the minimum
possible transportation cost of shifting the manufactured product to the five customers.
The net unit cost of transporting from the three plants to the five customers is given
below: [10]
Customers ?
plants
?
A B C D E
I 4 1 3 4 4
II 2 3 2 2 3
III 3 5 2 4 4
6. Casualty Medical Officer in a hospital has received four requests for Ambulance van
facility. Currently, six vans are available for assignment and the estimated response
time in minutes are shown in the table below:
Incidents
?
Van 1 Van2 Van3 Van4 Van5 Van6
I 16 15 13 14 15 18
II 18 16 12 13 17 16
III 14 14 17 16 15 15
IV 13 17 19 18 14 17
Determine which van should respond, and what will the average response time. [10]
OR
7. A travelling salesman has to visit 5 cities. He wishes to start from a particular city,
visit each city once and then return to his starting point. The travelling cost in
(Rs.?000) of each city from a particular city is given below:
To city ?
From
?
A B C D E
A -- 2 5 7 1
B 6 -- 3 8 2
C 8 7 -- 4 7
D 12 4 6 -- 5
E 1 3 2 8 --
What is the sequence of visit of the salesman so that the cost is minimized? [10]
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Code No: 742AD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MBA II Semester Examinations, December - 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 ? 5 Marks = 25
1.a) How do Operations Research methods help executives take better business
decisions? [5]
b) What is degeneracy and cycling in linear programming? How does one resolve this?
[5]
c) How does transportation problem differ from assignment problem? [5]
d) If a company has several independent investment opportunities, each of which has
an equal chance of gaining Rs.1,00,000 or losing Rs.60,000. What is the probability
that the company will lose money in two such investments and in three investments?
[5]
e) Player A paid Rs.8 if two coins turn both heads and Rs.10 if two coins turn both
tails. Player B is paid Rs. 3 when two coins do not match. Given the choice of
being A or B which one would you choose and what would be your strategy? [5]
PART - B 5 ? 10 Marks = 50
2.a) What are the opportunities and shortcomings of operations research approach?
b) What is mathematical model? What is its relevance in OR? [5+5]
OR
3.a) What is the scope for application of OR in production, inventory management and
distribution?
b) How do you test and validate a model? [5+5]
4. A company produces two types of pens A and B. Pen A is of superior quality and pen
B of inferior quality. Profit on pen A and pen B are Rs.5 and Rs.3 per pen
respectively. Raw material required for each pen A is twice as that of pen B. The
supply of raw material is sufficient only for 1000 pens of B per day. Pen A requires a
special clip and only 400 clips are available per day. For pen B only 700 clips are
available per day. Find graphically the product mix so that the company can make
maximum profit. [10]
OR
R17
5. A firm manufacturing a single product has three plants I, II and III. They have
produced 60,35 and 40 units respectively during this month. The firm had made a
commitment to sell 22 units to customer A, 45 units to customer B, 20 units to
customer C, 18 units to customer D and 30 units to customer E. Find the minimum
possible transportation cost of shifting the manufactured product to the five customers.
The net unit cost of transporting from the three plants to the five customers is given
below: [10]
Customers ?
plants
?
A B C D E
I 4 1 3 4 4
II 2 3 2 2 3
III 3 5 2 4 4
6. Casualty Medical Officer in a hospital has received four requests for Ambulance van
facility. Currently, six vans are available for assignment and the estimated response
time in minutes are shown in the table below:
Incidents
?
Van 1 Van2 Van3 Van4 Van5 Van6
I 16 15 13 14 15 18
II 18 16 12 13 17 16
III 14 14 17 16 15 15
IV 13 17 19 18 14 17
Determine which van should respond, and what will the average response time. [10]
OR
7. A travelling salesman has to visit 5 cities. He wishes to start from a particular city,
visit each city once and then return to his starting point. The travelling cost in
(Rs.?000) of each city from a particular city is given below:
To city ?
From
?
A B C D E
A -- 2 5 7 1
B 6 -- 3 8 2
C 8 7 -- 4 7
D 12 4 6 -- 5
E 1 3 2 8 --
What is the sequence of visit of the salesman so that the cost is minimized? [10]
8. Ramana often flies from Chennai to Hyderabad. He can use the airport bus which cost
Rs.250 but if he takes it, there is a 0.08 chance he will miss the flight. The stay in a
hotel costs Rs.2700 with a 0.96 chance of being on time for the flight. For Rs.3500 he
can use a taxi which will make 99 percent chance of being on time for the flight. If
Ramana catches the plane on time, he will conclude a business transaction which will
produce a profit of Rs.100,000. Otherwise he will lose it. Which mode of transport
should Ramana use? Answer on the basis of EMV criterion. [10]
OR
9. The required data for a small project consisting of different activities are given below:
a) Draw the network and find out the normal project length and minimum project
length.
b) If the project is to be completed in 21 days with minimum crash cost which
activities should be crashed to how many days? [10]
10. In a railway marshalling yard, goods train arrive a rate of 30 trains per day. Assuming
that the inter-arrival time follows an exponential distribution and the service time (the
time taken to hump the train) distribution is also exponential with an average of
36 minutes. Calculate,
a) Expected queue size.
b) Probability that queue size exceeds 10.
c) If the input of trains increases to an average of 33 per day, what will be the change
in a and b. [10]
OR
11. Two firms F1 and F2 make colour and black and white television sets. F1 can make
either 300 colour sets in a month or an equal number of black and white sets, and
make a profit of Rs, 2000 per colour sets and 1500 per black and white set. F2 can on
the other hand, make either 600 colour sets or 300 colour and 300 black & white sets
or 600 black and white sets per month. It also has the same profit margin on the two
sets as F1. Each month there is a market of 300 colour sets and 600 black and white
sets and the manufacturers would share market in the proportion in which they
manufacture a particular type of sets.
Write the payoff matrix of F1 and F2 per month. Obtain F1 and F2?s optimal strategies
and the value of the game. [10]
---ooOoo---
Activity Predecessor
activity
Normal
duration
in days
Normal
cost in
Rs.
Crash
duration
in days
Crash
cost in
Rs.
A -- 6 300 5 400
B -- 8 400 6 600
C A 7 400 5 600
D B 12 1000 4 1400
E C 8 800 8 800
F B 7 400 6 500
G D,E 5 1000 3 1400
H F 8 500 5 700
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This post was last modified on 23 October 2020