Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) BE/BTech IE (Industrial Engineering and Management) 2020 March 5th Sem Operations Research Previous Question Paper
Roll No. Total No. of Pages : 03
Total No. of Questions : 07
B.Tech. (Ind. Engg. & Mgt.) (Spl. in TQM)PT (Sem.?5)
OPERATIONS RESEARCH
Subject Code : IEM-502
M.Code : 70993
Time : 3 Hrs. Max. Marks : 40
INSTRUCTIONS TO CANDIDATES :
1. Attempt EIGHT out of TEN questions from SECTION-A carrying TWO marks
each.
2. Attempt any FOUR out of SIX questions from SECTION-B carrying SIX marks
each.
SECTION-A
1. Answer briefly :
a. Discuss the significance and scope of OR.
b. Write objective function of LPP.
c. What do you mean by surplus variables?
d. Write assumptions of LPP.
e. What is a balanced transportation problem?
f. How can we deal with unbalanced assignment problem?
g. Write applications of queuing theory.
h. Explain the significance of safety stock in inventory management.
i. Write various types of inventory.
j. What is waiting line problem?
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1 | M-70993 (S110)-2517
Roll No. Total No. of Pages : 03
Total No. of Questions : 07
B.Tech. (Ind. Engg. & Mgt.) (Spl. in TQM)PT (Sem.?5)
OPERATIONS RESEARCH
Subject Code : IEM-502
M.Code : 70993
Time : 3 Hrs. Max. Marks : 40
INSTRUCTIONS TO CANDIDATES :
1. Attempt EIGHT out of TEN questions from SECTION-A carrying TWO marks
each.
2. Attempt any FOUR out of SIX questions from SECTION-B carrying SIX marks
each.
SECTION-A
1. Answer briefly :
a. Discuss the significance and scope of OR.
b. Write objective function of LPP.
c. What do you mean by surplus variables?
d. Write assumptions of LPP.
e. What is a balanced transportation problem?
f. How can we deal with unbalanced assignment problem?
g. Write applications of queuing theory.
h. Explain the significance of safety stock in inventory management.
i. Write various types of inventory.
j. What is waiting line problem?
2 | M-70993 (S110)-2517
SECTION-B
2. Corporation has three manufacturing plants shipping to three warehouses. The production
of plants (in thousands of units), requirement of the warehouses (in thousands of units), and
shipping cost (in Rs.) per unit each source to each warehouse is given below:
Plants Production Warehouse Requirements
P1 140 W1 180
P2 130 W2 140
P3 110 W3 70
The freight rate per unit from each plant warehouse is :
W1 W2 W3
FROM
P1 1.80 1.40 1.60
P2 2.00 1.80 2.60
P3 1.40 1.20 3.20
Determine the initial basic feasible schedule using the Lowest-Cost Method.
3. B Sahni Chartered accountant firm has four chartered accountants each whom can be
assigned any of the three audit assignments. Because of the varying work experience of the
chartered accounts, the net surplus (professional fees minus expenses to be incurred by the
CA firm) varies as under :
Audit Assignments
Chartered
Accountant
W X Y
A 65 78 83
B 85 52 59
C 83 56 69
D 49 80 85
You are required to find the maximum net surplus which can be obtained.
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1 | M-70993 (S110)-2517
Roll No. Total No. of Pages : 03
Total No. of Questions : 07
B.Tech. (Ind. Engg. & Mgt.) (Spl. in TQM)PT (Sem.?5)
OPERATIONS RESEARCH
Subject Code : IEM-502
M.Code : 70993
Time : 3 Hrs. Max. Marks : 40
INSTRUCTIONS TO CANDIDATES :
1. Attempt EIGHT out of TEN questions from SECTION-A carrying TWO marks
each.
2. Attempt any FOUR out of SIX questions from SECTION-B carrying SIX marks
each.
SECTION-A
1. Answer briefly :
a. Discuss the significance and scope of OR.
b. Write objective function of LPP.
c. What do you mean by surplus variables?
d. Write assumptions of LPP.
e. What is a balanced transportation problem?
f. How can we deal with unbalanced assignment problem?
g. Write applications of queuing theory.
h. Explain the significance of safety stock in inventory management.
i. Write various types of inventory.
j. What is waiting line problem?
2 | M-70993 (S110)-2517
SECTION-B
2. Corporation has three manufacturing plants shipping to three warehouses. The production
of plants (in thousands of units), requirement of the warehouses (in thousands of units), and
shipping cost (in Rs.) per unit each source to each warehouse is given below:
Plants Production Warehouse Requirements
P1 140 W1 180
P2 130 W2 140
P3 110 W3 70
The freight rate per unit from each plant warehouse is :
W1 W2 W3
FROM
P1 1.80 1.40 1.60
P2 2.00 1.80 2.60
P3 1.40 1.20 3.20
Determine the initial basic feasible schedule using the Lowest-Cost Method.
3. B Sahni Chartered accountant firm has four chartered accountants each whom can be
assigned any of the three audit assignments. Because of the varying work experience of the
chartered accounts, the net surplus (professional fees minus expenses to be incurred by the
CA firm) varies as under :
Audit Assignments
Chartered
Accountant
W X Y
A 65 78 83
B 85 52 59
C 83 56 69
D 49 80 85
You are required to find the maximum net surplus which can be obtained.
3 | M-70993 (S110)-2517
4. What are the situations where operations research techniques will be applicable?
5. The annual consumption of the material is 10,000 units ordering costs are Rs. 7.00 per
order, price per unit of material is 30 paise and storage cost are 15% per annum of stock
value. Calculate Economic Order Quantity.
6. Vitamins A & B are available in two different foods P & Q. One unit of P contains 2 units
of vitamin A and 3 units of vitamin B. One unit of Q contains 5 units of Vitamin A and
four units of Vitamin B. The minimum daily consumption of vitamin A and B should be
1000 and 1500 units respectively. One unit of P costs Rs. 5 and one unit of Q costs Rs. 6.
What should be the intake of p & Q in order to minimize cost?
7. Discuss the four costs associated in developing an inventory model.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 21 March 2020