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Develop a distribution plan that minimizes total shipping and fixed costs while satisfying demands at the regions. ASAPP

The customers and the potential facilities of a country have been aggregated in seven regions as shown in Figure 1. Figure 1: A company would like to open three facilities among these regions to supply all the customers. The unit shipping costs between all regions are given in Table 1. Table 1: The demand in each region is known and given in Table 2. Table 2: If a facility is decided to be opened in a region, its capacity is determined beforehand and is given in Table 3. Table 3: The final key body of data involves the fixed costs of opening a facility in each region. The fixed cost of setting up a facility is different in each region as shown in Table 4. Table 4: The objective is to determine the overall distribution plan that minimizes the total annual cost. You are the head of the OR team that has been assigned the task of determining the shipping plan for each of the following options. Option 1: The new facilities are opened in region B, C, and F