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#### Operations Research Two Marks Questions

12th Standard EM

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Time : 00:45:00 Hrs
Total Marks : 20
10 x 2 = 20
1. Determine an initial basic feasible solution of the following transportation problem by north west corner method

2. Obtain an initial basic feasible solution to the following transportation problem by using least- cost method.

3. Consider the following transportation problem

Determine initial basic feasible solution by VAM

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

5. Give mathematical form of assignment problem.

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

7. 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.

8. Given the following pay-off matrix(in rupees) for three strategies and two states of nature.

 Strategy States-of-nature E1 E2 S1 40 60 S2 10 -20 S3 -40 150

Select a strategy using each of the following rule (i) Maximin (ii) Minimax

9. The following table summarizes the supply, demand and cost information for four factors S1, S2, S3, S4. shipping goods to three warehouses D1, D2, D3.

Find an initial solution by using north west corner rule. What is the total cost for this solution?
Find an initial solution by using north west corner rule. What is the total cost for this solution?

10. Determine an initial basic feasible solution to the following transportation problem by using (i)North West Corner rule (ii) least cost method.