Please provide solution for the problem.

2. A construction company has undertaken three projects, one each in City A, City B and City C. Each project requires a specific supply of raw material which the firm sources from the Cities D, E, F, and G. Shipping costs (in rupees) differ from location to location. The following table summarizes the problem the manager of the construction firm faces: The contractor learns that due to some difficulties, currently no shipments are possible between the cities D and A, and between F and C. a) Obtain the optimal transportation plan for the contractor. Calculate the total cost. At what location is some supply going to be short? By how much? b) Is the solution in (a) is unique. If not, identify another optimal solution. c) Write the dual of this problem and use the values of the dual variables to check the optimal solution. 2. A construction company has undertaken three projects, one each in City A, City B and City C. Each project requires a specific supply of raw material which the firm sources from the Cities D, E, F, and G. Shipping costs (in rupees) differ from location to location. The following table summarizes the problem the manager of the construction firm faces: The contractor learns that due to some difficulties, currently no shipments are possible between the cities D and A, and between F and C. a) Obtain the optimal transportation plan for the contractor. Calculate the total cost. At what location is some supply going to be short? By how much? b) Is the solution in (a) is unique. If not, identify another optimal solution. c) Write the dual of this problem and use the values of the dual variables to check the optimal solution