Please solve the problem using CPLEX Optimization Studio and build the mathematical model

MNT Company specializes in manufacturing desk lamps, has two factories, one in City A, the other in City B, daily production capacity of two factories in A and B are 800 and 800 products, respectively. The finished products will then be delivered to 3 central warehouses located in District 1, District 2 and District 3 by truck. Then, the products were distributed to 3 stores. From To District 1 District 2 District 3 City A 16,000 10,000 12,000 City B 15,000 14,000 17,000 Table 1.1. Transportation costs (per product) from 2 factories to 3 central warehouses From To District 1 District 2 District 3 Store 1 6,000 8,000 10,000 Store 2 7,000 11,000 11,000 Store 3 4,000 5,000 12,000 Table 1.2. Transportation costs (per product) from 3 central warehouses to 3 stores City A City B 800 800 Supply Table 1.3. Supply capacity of 2 factories (unit: products) Store 1 Store 2 Store 3 Demand 500 400 700 600 Capacity 500 500 Table 1.4. Average demand and capacity of the 3 stores (unit: products) City B Distance (km) District 1 City A 82 72 District 2 81 68 79 75 District 3 Table 1.5. Distance between the 2 factories and 3 central warehouses Make decisions about the number of trucks to be used. For each vehicle, route daily from two factories through the central warehouse to the podium stores to minimize time and cost. Know that each truck has a capacity of 200 desk lamps (box included)