Please show me the solution on gams model.

DLM Manufacturing Company, produces and transfers some equipment from their manufacturing plants (1,2,3,4) to regional distribution centers (A, B, C). The company wants to distribute the items with minimum cost by having an efficient logistics network. Table 1 includes required information for the problem setting. Please answer the following questions according to the explanations below by preparing a report. 1. Keep all the plants and find the best transportation plan: a) Provide the mathematical model of the problem. (Sets, Parameters, Decision Variables, Objective Function and Constraints) b) Present your optimal solution. (Total cost, fixed costs, transportation costs and transportation plan) 2. Do we need all the plants? Which plants to close? In part 1, it is expected that all the facilities are opened. However, DLM also wants to consider to close some of the plants. What will be the optimal solution to minimize overall (fixed + transportation) costs? Modify your mathematical model and find the least costly solution. Do not forget to explain your model and modifications. b) Present your optimal solution. (Total cost, fixed costs, transportation costs and transportation plan) 2. Do we need all the plants? Which plants to close? In part 1, it is expected that all the facilities are opened. However, DLM also wants to consider to close some of the plants. What will be the optimal solution to minimize overall (fixed + transportation) costs? Modify your mathematical model and find the least costly solution. Do not forget to explain your model and modifications. Present your optimal solution and compare the solutions of Parts 1 and 2. 3. Economic considerations in charge: DLM realized that a plant should produce at least 80 units once it is opened. (Keep that in mind, total demand is 360 units). Otherwise such an investment is not economical in the long run. Modify your mathematical model and find the least costly solution. Do not forget to explain your model and modifications. Present your optimal solution and compare the solutions of Parts 2 and 3. 1 In the light of the information above, please prepare a GAMS file (.gms) for each question (1, 2 and 3) and please kindly be informed that, you are also required to present a report in text format regarding your outputs from GAMS. TABLE 1: Related Data Transportation Cost Distribution Centers Capacity of the Fixed Manufacturing Operating B Plant Costs 1 100 50 100 200 1.200 Manufacturing 2 200 80 200 180 1.000 Plants 3 50 100 100 120 900 4 100 200 300 160 1.400 Demand 150 120 90 C AWN DLM Manufacturing Company, produces and transfers some equipment from their manufacturing plants (1,2,3,4) to regional distribution centers (A, B, C). The company wants to distribute the items with minimum cost by having an efficient logistics network. Table 1 includes required information for the problem setting. Please answer the following questions according to the explanations below by preparing a report. 1. Keep all the plants and find the best transportation plan: a) Provide the mathematical model of the problem. (Sets, Parameters, Decision Variables, Objective Function and Constraints) b) Present your optimal solution. (Total cost, fixed costs, transportation costs and transportation plan) 2. Do we need all the plants? Which plants to close? In part 1, it is expected that all the facilities are opened. However, DLM also wants to consider to close some of the plants. What will be the optimal solution to minimize overall (fixed + transportation) costs? Modify your mathematical model and find the least costly solution. Do not forget to explain your model and modifications. b) Present your optimal solution. (Total cost, fixed costs, transportation costs and transportation plan) 2. Do we need all the plants? Which plants to close? In part 1, it is expected that all the facilities are opened. However, DLM also wants to consider to close some of the plants. What will be the optimal solution to minimize overall (fixed + transportation) costs? Modify your mathematical model and find the least costly solution. Do not forget to explain your model and modifications. Present your optimal solution and compare the solutions of Parts 1 and 2. 3. Economic considerations in charge: DLM realized that a plant should produce at least 80 units once it is opened. (Keep that in mind, total demand is 360 units). Otherwise such an investment is not economical in the long run. Modify your mathematical model and find the least costly solution. Do not forget to explain your model and modifications. Present your optimal solution and compare the solutions of Parts 2 and 3. 1 In the light of the information above, please prepare a GAMS file (.gms) for each question (1, 2 and 3) and please kindly be informed that, you are also required to present a report in text format regarding your outputs from GAMS. TABLE 1: Related Data Transportation Cost Distribution Centers Capacity of the Fixed Manufacturing Operating B Plant Costs 1 100 50 100 200 1.200 Manufacturing 2 200 80 200 180 1.000 Plants 3 50 100 100 120 900 4 100 200 300 160 1.400 Demand 150 120 90 C AWN