Fomulate and solve the linear programing model . Please find the mathematical model . AND use CPLEX to solve it . Please , help meeeee

The transportation costs from the factory to distribution centers are: o Hanoi Capital (HN): 2$/box o Danang (DN): 7$/box o HCM City (HCM): 10$/box The fixed costs from the distribution centers to the markets are: o Hanoi Capital (HN): 15000$ o Danang (DN): 10000$ o HCM City (HCM): 20000$ The demand of each markets are: o Northern Vietnam: 9800 boxes o Central Vietnam: 3300 boxes o Southeast: 6800 boxes o Mekong River Delta: 13900 boxes Northern Vietnam Central Vietnam Southeast Mekong River Delta From Hanoi Capital 4 6 8 8 11 Danang 4 3 5 8 HCM City 10 7 4 3 Problem 8: BTU is a startup that wants to transform how customers fulfill their bookstore. The company has built a factory in Binh Duong Province where books are filled and then shipped to customers. BTU wants to design its supply chain network in order to minimize the shipping cost. Instead of shipping individual boxes to customers, the company wants to establish a network of distribution center (DC) that receive large shipments from the factory and distribute them in their region. BTU hes segmented their market into four categories: Northern Vietnam (NV), Central Vietnam (CV), Southeast (S) and Mekong River Delta (M). There are free candidate DC locations: HCM City (HCM), Hanoi Capital (HN), Danang (DN). Deterministic Models in Operations Research Fixed cost (in $) Transportation cost (in $/box) 15000 NV HN 2 11.8. CV 10000 7 DN 5- 10 10 20000 ( (HCM M Factory Distribution center Markets Where BTU should open DC? Formulate and solve the linear programing model of this