Download JNTUH (Jawaharlal Nehru Technological University Hyderabad) MBA (Master of Business Administration) 2nd Semester (Second Semester) R15 2018 Dec 721CN Quantitative Analysis For Business Decisions Previous Question Paper
Code No: 721CN
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) Elucidate the scope of OR in management. [5]
b) A small scale industry manufactures two products I and II. These products are
processed on three machines A, B and C. One unit of product I require 2 hours on
machine A, 1 on machine B and 6 on machine C, while one unit of product II requires
respectively 2 hours, 5 hours and 2 hours on machines A, B and C. In a given period,
there are 24 hours available on machine A, 44 on machine B and 60 on machine C.
The profit per unit on product I is Rs.6 and on product II is Rs.9. Given that the
machines are available when required, Using graphical method, how many units of
each product should be made during the period in order to maximize the total profit?
[5]
c) Write the algorithm for solving Assignment problem. [5]
d) Elucidate the various steps in decision theory approach. [5]
e) How can you apply queuing model in business? [5]
PART - B 5 ? 10 Marks = 50
2. Explain the different business applications of Operations Research. [10]
OR
3. Elucidate the opportunities and shortcomings of using OR model. [10]
OR
4. The number of man hours available per week at the machine centres I and II are 60
and 48 respectively. Product A requires 4 and 2 man hours and product B requires 2
and 4 man hours at the machine centres I and II respectively per product. The profit
per product of A is Rs.8 and product B is Rs.6. Using simplexl method, find the
optimum production for maximum profit. [10]
OR
5. Three factories producing 100, 125 and 75 units of goods respectively supply five
distribution centers which demand 100, 60, 40, 75 and 25 units of the goods
respectively. The cost of transporting these goods is given by the following matrix C,
where the element Cij represents the cost of transporting one unit of goods from the
i
th
factory to the j
th
distribution Centre.
3 2 3 4 1
4 1 2 4 2
1 0 5 3 2
Determine the number of units of goods to be transported from each of the three
factories to the various distribution centres so that the total transportation cost will be
a minimum. [10]
R15
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Code No: 721CN
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) Elucidate the scope of OR in management. [5]
b) A small scale industry manufactures two products I and II. These products are
processed on three machines A, B and C. One unit of product I require 2 hours on
machine A, 1 on machine B and 6 on machine C, while one unit of product II requires
respectively 2 hours, 5 hours and 2 hours on machines A, B and C. In a given period,
there are 24 hours available on machine A, 44 on machine B and 60 on machine C.
The profit per unit on product I is Rs.6 and on product II is Rs.9. Given that the
machines are available when required, Using graphical method, how many units of
each product should be made during the period in order to maximize the total profit?
[5]
c) Write the algorithm for solving Assignment problem. [5]
d) Elucidate the various steps in decision theory approach. [5]
e) How can you apply queuing model in business? [5]
PART - B 5 ? 10 Marks = 50
2. Explain the different business applications of Operations Research. [10]
OR
3. Elucidate the opportunities and shortcomings of using OR model. [10]
OR
4. The number of man hours available per week at the machine centres I and II are 60
and 48 respectively. Product A requires 4 and 2 man hours and product B requires 2
and 4 man hours at the machine centres I and II respectively per product. The profit
per product of A is Rs.8 and product B is Rs.6. Using simplexl method, find the
optimum production for maximum profit. [10]
OR
5. Three factories producing 100, 125 and 75 units of goods respectively supply five
distribution centers which demand 100, 60, 40, 75 and 25 units of the goods
respectively. The cost of transporting these goods is given by the following matrix C,
where the element Cij represents the cost of transporting one unit of goods from the
i
th
factory to the j
th
distribution Centre.
3 2 3 4 1
4 1 2 4 2
1 0 5 3 2
Determine the number of units of goods to be transported from each of the three
factories to the various distribution centres so that the total transportation cost will be
a minimum. [10]
R15
6. A project work consists of four major jobs for which four contractors have submitted
tenders. The tender amounts quoted in the thousands of rupees are given in the matrix
as:
Jobs
J1 J2 J3 J4
C1 15 29 35 20
Contractors C2 21 27 33 17
C3 17 25 37 15
C4 14 31 39 21
Find the assignment which minimizes the total cost of the project. Each contractor has
to be assigned one job. [10]
OR
7. A salesmen has to visit five cities A,B,C,D and E. The distances (in hundred km)
between the five cities are given in the following table. If the salesmen starts from
city A and has to come back to city A, which route should he select so that the total
distance travelled by him is minimized? [10]
To
A B C D E
From A - 4 7 3 4
B 4 - 6 3 4
C 7 6 - 7 5
D 3 3 7 - 7
E 4 4 5 7 -
8. A client asks an estate agent to sell three properties. A, B and C for him and agrees to
pay him 5% commission on each sale. He specifies certain conditions. The estate agent
must sell property A first, and this he must do within 60 days. If and when A is sold the
agent receives his 5% commission in that sale. He can then either back out at this stage
or nominate and try to sell one of the remaining two properties within 60 days. If he
does not succeed in selling the nominated property in that period, he is given the
opportunity to sell the third property on the same conditions. The following table
summarises the prices, selling costs (incurred by the estate agent whenever a sale is
made) and the estate agent?s estimated probability of making a sale.
Property Price of Property Selling costs Probability of sale
A 12,000 400 0.7
B 25,000 225 0.6
C 50,000 450 0.5
a) Draw up an appropriate decision tree for the estate agent.
b) What is the estate agent?s best strategy under EMV approach? [10]
OR
9. The following matrix given the payoff of different strategies S1, S2, S3 against
different conditions N1, N2, N3 and N4.
N1 N2 N3 N4
S1 4000 -100 6000 18000
S2 20,000 5,000 400 0
S3 20,000 15,000 -2,000 1,000
Indicate the decision taken under the following approach a) pessimistic b) Optimistic
c) Regret and d) Equal Probability. [10]
FirstRanker.com - FirstRanker's Choice
Code No: 721CN
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) Elucidate the scope of OR in management. [5]
b) A small scale industry manufactures two products I and II. These products are
processed on three machines A, B and C. One unit of product I require 2 hours on
machine A, 1 on machine B and 6 on machine C, while one unit of product II requires
respectively 2 hours, 5 hours and 2 hours on machines A, B and C. In a given period,
there are 24 hours available on machine A, 44 on machine B and 60 on machine C.
The profit per unit on product I is Rs.6 and on product II is Rs.9. Given that the
machines are available when required, Using graphical method, how many units of
each product should be made during the period in order to maximize the total profit?
[5]
c) Write the algorithm for solving Assignment problem. [5]
d) Elucidate the various steps in decision theory approach. [5]
e) How can you apply queuing model in business? [5]
PART - B 5 ? 10 Marks = 50
2. Explain the different business applications of Operations Research. [10]
OR
3. Elucidate the opportunities and shortcomings of using OR model. [10]
OR
4. The number of man hours available per week at the machine centres I and II are 60
and 48 respectively. Product A requires 4 and 2 man hours and product B requires 2
and 4 man hours at the machine centres I and II respectively per product. The profit
per product of A is Rs.8 and product B is Rs.6. Using simplexl method, find the
optimum production for maximum profit. [10]
OR
5. Three factories producing 100, 125 and 75 units of goods respectively supply five
distribution centers which demand 100, 60, 40, 75 and 25 units of the goods
respectively. The cost of transporting these goods is given by the following matrix C,
where the element Cij represents the cost of transporting one unit of goods from the
i
th
factory to the j
th
distribution Centre.
3 2 3 4 1
4 1 2 4 2
1 0 5 3 2
Determine the number of units of goods to be transported from each of the three
factories to the various distribution centres so that the total transportation cost will be
a minimum. [10]
R15
6. A project work consists of four major jobs for which four contractors have submitted
tenders. The tender amounts quoted in the thousands of rupees are given in the matrix
as:
Jobs
J1 J2 J3 J4
C1 15 29 35 20
Contractors C2 21 27 33 17
C3 17 25 37 15
C4 14 31 39 21
Find the assignment which minimizes the total cost of the project. Each contractor has
to be assigned one job. [10]
OR
7. A salesmen has to visit five cities A,B,C,D and E. The distances (in hundred km)
between the five cities are given in the following table. If the salesmen starts from
city A and has to come back to city A, which route should he select so that the total
distance travelled by him is minimized? [10]
To
A B C D E
From A - 4 7 3 4
B 4 - 6 3 4
C 7 6 - 7 5
D 3 3 7 - 7
E 4 4 5 7 -
8. A client asks an estate agent to sell three properties. A, B and C for him and agrees to
pay him 5% commission on each sale. He specifies certain conditions. The estate agent
must sell property A first, and this he must do within 60 days. If and when A is sold the
agent receives his 5% commission in that sale. He can then either back out at this stage
or nominate and try to sell one of the remaining two properties within 60 days. If he
does not succeed in selling the nominated property in that period, he is given the
opportunity to sell the third property on the same conditions. The following table
summarises the prices, selling costs (incurred by the estate agent whenever a sale is
made) and the estate agent?s estimated probability of making a sale.
Property Price of Property Selling costs Probability of sale
A 12,000 400 0.7
B 25,000 225 0.6
C 50,000 450 0.5
a) Draw up an appropriate decision tree for the estate agent.
b) What is the estate agent?s best strategy under EMV approach? [10]
OR
9. The following matrix given the payoff of different strategies S1, S2, S3 against
different conditions N1, N2, N3 and N4.
N1 N2 N3 N4
S1 4000 -100 6000 18000
S2 20,000 5,000 400 0
S3 20,000 15,000 -2,000 1,000
Indicate the decision taken under the following approach a) pessimistic b) Optimistic
c) Regret and d) Equal Probability. [10]
10. In a reservation counter with a single server, customers arrive with the inter arrival
time as the exponential distribution with mean 10 minutes. The service time is also
assumed to be experimental with mean 8 minutes. Find (a) idle time of the server
(b) the average length of the queue (c) the expected time that a customer spends in the
system. [10]
OR
11. Goods trains are coming in a yard at the rate of 30 trains per day. The inter-arrival
time follows exponential distribution. The service rate follows an exponential
distribution with an average of 36 minutes. The yard can admit 9 trains at a time
(there being 10 lines, one of which is reserved for shunting purposes). What is the
probability that the yard is empty and find the average queue length? [10]
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This post was last modified on 23 October 2020