PLZ answer the first question ((Formulate the linear programming model of the problem ))

The Figure below gives a schematic layout of a machine shop with its existing work centers designated by squares 1, 2, 3, and 4. Four new work centers, I, II, III, and IV, are to be added to the shop at the locations designated by circles a, b, c, and d. the objective is to assign the new centers to the proposed locations to minimise the total material handling traffic between the existing centers and the proposed ones. The table below summarizes the frequency of trips between the new centers and the old ones. Material handling equipment travels along the rectangular walkways intersecting at the location of the centers. For example, the one way travel distance (in meters) between center 1 and location b is 30+20 = 50 m. Schematic layout of a machine shop Frequency of trips between centers --------- ----- New center II III IV 1 95 . Existing center 204 0 ------ ---- --- -- 0 10 20 30 40 50 60 70 80 You are required to: 1- Formulate the linear programming model of the problem. 2- Find the optimal solution of the