Question: please solve it by hand ASAP! We consider a production problem with two manufacturing plants, two retailers, and three car models. Therefore, the model has
please solve it by hand ASAP!
We consider a production problem with two manufacturing plants, two retailers, and three car models. Therefore, the model has four types of nodes: (1) plant nodes to represent each plant; (2) plant/model nodes to represent the different models that the plant can make; (3) retailer/model nodes to represent the different models that the retailers need to have; and (4) retailer nodes to represent the retailers themselves. The first plant is only equipped to manufacture the models 1 and 2, while the second plant can produce all three models. The first retailer wants to have a collection of all three models, while the second retailer only wants models 1 and 2 . For each car model produced in a plant, there is a minimum production that needs to take place if the model was to be produced, a maximum production capacity, a setup cost, and a variable production cost as explained in the table below. Both plants either produce at least the minimum production indicated below of a model or they do not produce it. The transportation cost from plant 1 to any retailer is $50 per car, and the transportation cost from plant 2 to any retailer is $60 per car. Retailer 1 wants to showcase at least 50 cars of model 1,30 of model 2, and 70 of model 3. Retailer 2 wants to showcase at least 40 cars of model 1 and 60 cars of
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