You are managing a hockey tournament and need a game official for each of the four games. All the games occur at the same time in four different cities. The cities are Migori County, Lamu County, Kakamega and Kericho County. The four game officials live in different parts of Kenya and will need to travel to the games and submit a travel distance in Kilometers according to the table below. The assignment is one official to one game location. Game Locations Official Migori County Lamu County Kakamega County Kericho County 1 70 165 185 215 2 75 200 140 105 110 240 130 | 165 7 L 4 55 122 110 79 1 Required a) Formulate this assignment question as an LP question to minimize cost to send the officials to their games. [2 marks] b) Solve the problem to determine the optimal assignment plan. [2 marks] c) Suppose that Official 4 Cannot be assigned to Migori County because that is his home county? How will this change the assignment plan. [2 marks] d) Solve the problem to determine the optimal assignment plan. [2 marks] e) Suppose they have recruited a new official 5 with the following travel Kilometers. How will this change the assignment plan? [2 marks] Official Migori County Lamu County Kakamega County Kericho County 5 170 65 85 200