Problem: The MG Company produces four different models, which we refer to for simplicity as M1, M2, M3, and M4. The Detroit plant produces models M1, M2, and M4. Models M1 and M2 only are produced in New Orleans. The Los Angeles plant manufactures models M3 and M4. The capacities of the various plants and the demands of the distribution centers are given below according to model type. MODEL M1 M2 M3 M4 Plant Los Angeles Detroit New Orleans Distribution Center Denver Miami *** 500 800 - 600 400 700 - -- 300 400 --- 700 600 500 500 500 200 600 100 The transportation costs for each model from plants to distribution center Denver Miami Los Angeles 80 215 Detroit 100 108 New Orleans_102 68 Develop a transportation model to supply needed models to distribution centers from plants at minimum cost Formulate only, do not solve (show all appropriate warehouses, markets, cell cost values fully). (You may use the hint: Number of Warehouses/sources =7). Transportation problem (contd.)- 1. How many columns (demand) are there ---- 2. Is the problem balanced? -- 3. Do you need any dummy row or column ? - 4. Do you need to use large values denoted by M in some cells (as we did in our class problem)? -------- Give full matrix formulation of the problem below: Problem: The MG Company produces four different models, which we refer to for simplicity as MI, M2, M3, and M4. The Detroit plant produces models M1, M2, and M4. Models MI and M2 only are produced in New Orleans. The Los Angeles plant manufactures models M3 and M4. The capacities of the various plants and the demands of the distribution centers are given below according to model type. MODEL M1 M2 M3 M4 Plant Los Angeles -- -- 700 Detroit 500 600 --- New Orleans 800 400 --- Distribution Center Denver 700 500 500 Miami 600 500 200 300 400 --- 600 100 The transportation costs for each model from plants to distribution centers are as follows: Denver Miami Los Angeles 80 Detroit 108 New Orleans 68 215 100 Develop a transportation model to supply needed models to distribution centers from plants at minimum cost. Formulate only, do not solve (show all appropriate warehouses. markets, cell cost values fully). (You may use the hint: Number of Warehouses/sources =7). Transportation problem (contd.)- 1. How many columns (demand) are there ----- 2. Is the problem balanced? ------ 3. Do you need any dummy row or column ? ---- 4. Do you need to use large values denoted by M in some cells (as we did in our class problem)? -------- Give full matrix formulation of the problem below: Problem: The MG Company produces four different models, which we refer to for simplicity as M1, M2, M3, and M4. The Detroit plant produces models M1, M2, and M4. Models M1 and M2 only are produced in New Orleans. The Los Angeles plant manufactures models M3 and M4. The capacities of the various plants and the demands of the distribution centers are given below according to model type. MODEL M1 M2 M3 M4 Plant Los Angeles Detroit New Orleans Distribution Center Denver Miami *** 500 800 - 600 400 700 - -- 300 400 --- 700 600 500 500 500 200 600 100 The transportation costs for each model from plants to distribution center Denver Miami Los Angeles 80 215 Detroit 100 108 New Orleans_102 68 Develop a transportation model to supply needed models to distribution centers from plants at minimum cost Formulate only, do not solve (show all appropriate warehouses, markets, cell cost values fully). (You may use the hint: Number of Warehouses/sources =7). Transportation problem (contd.)- 1. How many columns (demand) are there ---- 2. Is the problem balanced? -- 3. Do you need any dummy row or column ? - 4. Do you need to use large values denoted by M in some cells (as we did in our class problem)? -------- Give full matrix formulation of the problem below: Problem: The MG Company produces four different models, which we refer to for simplicity as MI, M2, M3, and M4. The Detroit plant produces models M1, M2, and M4. Models MI and M2 only are produced in New Orleans. The Los Angeles plant manufactures models M3 and M4. The capacities of the various plants and the demands of the distribution centers are given below according to model type. MODEL M1 M2 M3 M4 Plant Los Angeles -- -- 700 Detroit 500 600 --- New Orleans 800 400 --- Distribution Center Denver 700 500 500 Miami 600 500 200 300 400 --- 600 100 The transportation costs for each model from plants to distribution centers are as follows: Denver Miami Los Angeles 80 Detroit 108 New Orleans 68 215 100 Develop a transportation model to supply needed models to distribution centers from plants at minimum cost. Formulate only, do not solve (show all appropriate warehouses. markets, cell cost values fully). (You may use the hint: Number of Warehouses/sources =7). Transportation problem (contd.)- 1. How many columns (demand) are there ----- 2. Is the problem balanced? ------ 3. Do you need any dummy row or column ? ---- 4. Do you need to use large values denoted by M in some cells (as we did in our class problem)? -------- Give full matrix formulation of the problem below