Solve the following problem: (10 Marks) The Brown Lines railway company specializes in coal handling. On Saturday, Bremerhad empty cars at the following towns in the quantities indicated: Town Supply of cars Morgantown 35 60 25 Youngstown Pisbur By Monday, the following towns will need cars as follows: Town Demand for cars Coal Valley 30 45 Coal town = Coal 25 junction Carlsbus 20 The result is shown in the table below. To Coal Valley From Coal town Coal junction Coalsbace Morgantown Youngstown Pitsbus 20 10 80 40 70 90 30 100 80 Required: Minimize total miles over which cars are moved to new locations regarding the following 3- Formulate as a linear programming. (4 marks) - Use North-West comer method to obtain the total shipment cost of coal cars. (6 marks)