The capacitated facility location problem is the basis for many practical optimization problems. Modeling such problem must take into account both demand satisfaction and capacity constraints. 1. Consider a company with four potential sites for installing its facilities and five demand points. Solve the Transportation Problem by using least cost method. 2. Formulate the problem as a linear programming model. - minimize the sum of facility costs and transportation costs, subject to capacity (labor, material) and demand / sales constraints. Define your decision variables (continuous, binary), and state the objective function and constraints explicitly!