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Operations Research 5 Mark Book Back Question Paper With Answer Key

12th Standard

    Reg.No. :
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Business Maths

Time : 01:00:00 Hrs
Total Marks : 70

    5 Marks 


    14 x 5 = 70
  1. Find the initial basic feasible solution for the following transportation problem by VAM

  2. Obtain an initial basic feasible solution to the following transportation problem using Vogel’s approximation method.

  3. Solve the following assignment problem. Cell values represent cost of assigning job A, B, C and D to the machines I, II, III and IV.

  4. Consider the problem of assigning five jobs to five persons. The assignment costs are given as follows. Determine the optimum assignment schedule.

  5. Obtain an initial basic feasible solution to the following transportation problem by north west corner method.

  6. A computer centre has got three expert programmers. The centre needs three application programmes to be developed. The head of the computer centre, after studying carefully the programmes to be developed, estimates the computer time in minitues required by the experts to the application programme as follows.

    Assign the programmers to the programme in such a way that the total computer time is least.

  7. A departmental head has four subordinates and four tasks to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. His estimates of the time each man would take to perform each task is given below :

    How should the tasks be allocated to subordinates so as to minimize the total man-hours?

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

  9. Assign four trucks 1, 2, 3 and 4 to vacant spaces A, B, C, D, E and F so that distance travelled is minimized. The matrix below shows the distance.

  10. Consider the following transportation problem

    Determine an initial basic feasible solution using
    (a) Least cost method
    (b) Vogel’s approximation method.

  11. Determine an initial basic feasible solution to the following transportation problem by using North West Corner rule 

  12. Explain Vogel’s approximation method by obtaining initial feasible solution of the following transportation problem.

  13. A car hire company has one car at each of five depots a,b,c,d and e. A customer in each of the fine towers A,B,C,D and E requires a car. The distance (in miles) between the depots (origins) and the towers(destinations) where the customers are given in the following distance matrix.

    How should the cars be assigned to the customers so as to minimize the distance travelled?

  14. A natural truck-rental service has a surplus of one truck in each of the cities 1,2,3,4,5 and 6 and a deficit of one truck in each of the cities 7,8,9,10,11 and 12. The distance(in kilometers) between the cities with a surplus and the cities with a deficit are displayed below:

    How should the truck be dispersed so as to minimize the total distance travelled?

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