management science

Answer all the following questions. 1. Solve the transportation problem From to B C Supply 00 10 150 WNK 11 11 175 4 5 12 275 Demand 200 100 300 a. Find the initial solution using North West Method b. Find the initial solution using Vogel Approximation Method (VAM) c. Solve the problem based on initial solution from question B using STEPPING STONE or MODI d. Formulate a linear programming model for this problem. (15 marks) 2. The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues (in thousands) will vary with how well taxpayers comply with the new tax code. Low Medium High # of Workers Compliance Compliance Compliance 50 50 100 20 150 70 -10 How many new workers will he hire if he uses the following criteria? i. Maximin criterion ii. Minimax regret criterion (4 marks)