Operations Research Model Question Paper

12th Standard EM

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Business Maths

Time : 02:00:00 Hrs
Total Marks : 50
    10 x 1 = 10
  1. The transportation problem is said to be unbalanced if _________

    (a)

    Total supply ≠ Total demand

    (b)

    Total supply = Total demand

    (c)

    m = n

    (d)

    m+n–1

  2. In a non – degenerate solution number of allocations is

    (a)

    Equal to m+n–1

    (b)

    Equal to m+n+1

    (c)

    Not equal to m+n–1

    (d)

    Not equal to m+n+1

  3. The Penalty in VAM represents difference between the first ________

    (a)

    Two largest costs

    (b)

    Largest and Smallest costs

    (c)

    Smallest two costs

    (d)

    None of these

  4. Number of basic allocation in any row or column in an assignment problem can be

    (a)

    Exactly one

    (b)

    at least one

    (c)

    at most one

    (d)

    none of these

  5. North-West Corner refers to ________

    (a)

    top left corner

    (b)

    top right corner

    (c)

    bottom right corner

    (d)

    bottom left corner

  6. Solution for transportation problem using __________method is nearer to an optimal solution.

    (a)

    NWCM

    (b)

    LCM

    (c)

    VAM

    (d)

    Row Minima

  7. If number of sources is not equal to number of destinations, the assignment problem is called____________

    (a)

    balanced

    (b)

    unsymmetric

    (c)

    symmetric

    (d)

    unbalanced

  8. The purpose of a dummy row or column in an assignment problem is to

    (a)

    prevent a solution from becoming degenerate

    (b)

    balance between total activities and total resources

    (c)

    provide a means of representing a dummy problem

    (d)

    none of the above

  9. In an assignment problem involving four workers and three jobs, total number of assignments possible are

    (a)

    4

    (b)

    3

    (c)

    7

    (d)

    12

  10. A type of decision –making environment is

    (a)

    certainty

    (b)

    uncertainty

    (c)

    risk

    (d)

    all of the above

  11. 9 x 2 = 18
  12. What is transportation problem?

  13. what is feasible solution and non degenerate solution in transportation problem?

  14. What do you mean by balanced transportation problem?

  15. Determine an initial basic feasible solution of the following transportation problem by north west corner method

  16. Determine basic feasible solution to the following transportation problem using North west Corner rule.

  17. What is the Assignment problem?

  18. What is the difference between Assignment Problem and Transportation Problem?

  19. Find the optimal solution for the assignment problem with the following cost matrix.

  20. Following pay-off matrix, which is the optimal decision under each of the following rule
    (i) maxmin
    (ii) minimax

    Act States of nature
    S1 S2 S3 S4
    A1 14 9 10 5
    A2 11 10 8 7
    A3 9 10 10 11
    A4 8 10 11 13
  21. 4 x 3 = 12
  22. Determine an initial basic feasible solution to the following transportation problem using North West corner rule.

    Here Oi and Dj represent ith origin and jth destination.

  23. Determine how much quantity should be stepped from factory to various destinations for the following transportation problem using the least cost method

    Cost are expressed in terms of rupees per unit shipped.

  24. Consider the following pay-off (profit) matrix Action States

    Action States
    (s1) (s2) (s3) (s4)
    A1 5 10 18 25
    A2 8 7 8 23
    A3 21 18 12 21
    A4 30 22 19 15

    Determine best action using maximin principle.

  25. Consider the following pay-off matrix

    Alternative Pay – offs (Conditional events)
    A1 A2 A3 A4
    E1 7 12 20 27
    E2 10 9 10 25
    E3 23 20 14 23
    E4 32 24 21 17

    Using minmax principle, determine the best alternative.

  26. 2 x 5 = 10
  27. Consider the problem of assigning five jobs to five persons. The assignment costs are given as follows. Determine the optimum assignment schedule.

  28. Solve the following assignment problem.

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