2. A company has 3 auditors. Each auditor can work upto 160 hours during the next month. During the month, the auditors have to complete 3 projects. Project 1 will take 130 hours, project 2 will take 140 hours and project 3 will take 160 hours. The amount in Rupees per hour that can be billed for assigning each auditor to each project is given below:

Project Auditor	P1	P2	P3
A1	1200	1500	1900
A2	1400	1300	1200
A3	1600	1400	1500

1. Represent the data in a transportation tableau. (5 marks)

2. Find the initial basic feasible solution of the following transportation problem using the following methods and compute the transportation cost of the initial feasible solution.

3. North West Corner Method (5 marks)

4. Least Cost Method (5 marks)

5. Find the optimal solution for the initial solution obtained by North West Corner Method and compute the new cost using MODI Method (20 marks)

6. Find the optimal solution for the initial solution obtained by Least Cost Method and compute the new cost using MODI Method (20 marks)

(Total 55 marks)