Optimizing Humanitarian Relief Networks As a manager in a humanitarian organization, your objective is to reach out to citizens across a vast geographical region. You need to reach out to people in 6 different camps, each with their own transportation requirements, and needs. The demand for packages of basic needs in each camp is given below: Camps 1 and 2 are in region A, camps 3 and 4 are in region B, and camps 5 and 6 are in region C. Each region has a processing center that would fill its capacity with 30,000 units of dry food, 15,000 units of fuel, or 6,000 units of medical supply. To ensure that all camps are treated equally, camps in each region must have at least 20% of the dry food, 20% of the fuel and 20% of the medical supply supplied from your organization. In addition, each camp must have at least 10% of the total amount of supply packages provided from your organization. Your organization can purchase dry food, fuel and medical supply for unit price of 405,25S, and 1205 , respectively. The shipment costs from your organization's headquarters to each processing center and camp is given below: Any supply that is not shipped from your organization can be acquired locally around the camps, but they would cost 100% more, i.e. dry food, fuel and medical supply would cost 805/ unit, 50S/ unit, and 240S/ unit, respectively. a) Mathematical formulation - Define decision variables. - Formulate objective function and constraints