Solve the following problem: (10 Marks The Kramof Lines railway company specializes in coal handling. On Saturday, Kramof had empty cars at the following towns in the quantities indicated Ten Supply of cars Morgantown 35 Youngstown 60 25 By Monday, the following towns will need cars as follows: Tens Demand for cars Coal Valley 30 Coal town 45 Coal 25 junction Contours 20 The result is shown in the table below. To Coal Coul Foodsbura Valley town junction From Morgantown 50 30 60 70 Youngstown 20 80 10 90 100 80 30 Required: Minimize total mikes over which cars are moved to new locations regarding the following a- Formulate as a linear programming. (4 marks) b- Use North-West corner method to obtain the total shipment cost of coal cars. (6 marks)