note :I want the answer without any picture and be written on the computer to copy it

Ahmad is the logistics officer in ABC building contractors. ABC is currently starting four building projects in four different sites.

Building projects require bulk amounts of raw materials to start the project. Therefore, Ahmad needs to supply these four projects with all the building metal they have in their warehouses, (Warehouse 1 has 12 tons of metal, Warehouse 2 has 30 tons of metal, and warehouse 3 has 18 tons of metal).

Ahmad will distributed the amount of available metal on the four projects according to the size of the project (25 tons for Project 1, 10 tons for Project 2, 10 tons for Project 3, and 15 tons for Project 4).

Ahmad wants to minimize the cost of transport by reducing the distance that ABC trucks will travel in transporting the metal, therefore, he decides to develop a transportation model that minimizes the distance traveled to deliver the metal to the four project sites from the three different warehouse locations. To do so Ahmad has developed the table below that represent the distance from every warehouse to every project site. Knowing that each truck can move one ton of metal in one trip.

	Project 1	Project 2	Project 3	Project 4
Warehouse 1	30 KM	18 KM	16 KM	12 KM
Warehouse 2	15 KM	26 KM	10 KM	19 KM
Warehouse 3	16 KM	19 KM	21 KM	27 KM

Q5. Develop the transportation model for the example above using the three methods (North-West corner method, least cost method, Vogel Approximation Method) to define three initial solutions.

Q6. Choose the best initial solution from the methods above (the initial solution with the minimal number of miles traveled) and calculate the Improvement Index for the non-basic variables to decide if this is the optimal solution or not.