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Answer all the problems.

Q.1 Maximise z = 3x1 + 4x2
Subject to constrains 5x1 + 4x2<= 200;
3x1 + 5x2<= 150;
5x1 + 4x2<= 100;
8x1 + 4x2>= 80,
x1>= 0, x2>= 0

Q.2 State the ways in which customers in a queue are served.

Q.3 Describe the use of simulation in networks? What are the advantages of using simulation?

Q.4 Describe maximin-minimax principle. Briefly describe the characteristics of competitive game

Q.5 A project has 10 activities. The following table shows the information about the activities.

Table 14.5: Activities information
Activity        Preceding activity       Duration in weeks
A                           –                           6
B                           –                           3
C                           A                           5
D                           A                           4
E                           A                            3
F                           C                            3
G                          D                             5
H                          B, D, E                     5
I                           H                             2
J                           I, G, F                      3

• Draw the network
• Find the project duration
• Identify the CPM
• Prepare the schedule

Q.6 Discuss different types of service systems?

Answer all the problems.

Q.1 Describe project management (PERT) & Project scheduling of PERT.

Q.2 prepare down a short note on Monte-Carlo simulation? What are the Limitations of using Simulation?

Q.3 In a rectangular game, pay-off matrix of player A is as follows:

84_pay off matrix.jpg

i) Solve the game.

ii) prepare down the pay-off matrix of B and then, solve the game.

Q.4 A marketing manager has 5 salesmen and 5 sales districts. Considering the capabilities of the salesman and the nature of districts, the marketing manager estimates that the sales per month (in hundred rupees) for each salesman in each district will be as follows.
Sales districts

     A       B     C      D      E
1  32    38    40     28    40
2  40    24    28     21    36
3  41    27    33     30    37
4  22    38    41     36    36
5  29    33    40     35    39

Find the assignment of salesman to districts that will result in maximum sales.

Q.5 Describe PERT & CPM. prepare down the essential difference between PERT and CPM.

Q.6 Describe Linear programming problem by giving two exs & prepare any 3 applications of Linear Programming problem.

Operation Research, Management Studies

  • Category:- Operation Research
  • Reference No.:- M9747

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