Consider a warehouse location problem. Each customer site (1, 2, 3, 4, 5) must be covered by at least a warehouse. There are three possible sites to build warehouses (1, 2, 3). The cost of building a warehouse at site 1, 2, 3 is $1, $2, $3, respectively. The connection between warehouses and customers are given in the following graph. Determine the location of warehouses such that the total cost is minimized. (Formulate the problem and no need to solve it) 1 1 2 3 4 2 3 5 Problem 3 (40 points) Based on the problem 2, if we have the capacity of warehouses in the following table: Warehouse 1 Warehouse 2 Warehouse 3 Capacity 1 2 3 Also, we define the demand of each customer as: Customer 1 Customer 2 Customer 3 Customer 4 Customer 5 Demand 1 2 3 4 5 The transportation cost from each warehouse to each customer is given as: Warehouse 1 Warehouse 2 Warehouse 3 Customer 1 11 - 31 Customer 2 12 22 - Customer 3 - - 33 Customer 4 14 24 - Customer 5 25 35 Now, the company wants to build 2 warehouses. Determine the locations of these two warehouses to minimize the total costs. (Formulate the problem. No need to solve) Solve QUESTION 3 ONLY NOT QUESTION 2