Question: 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

 Optimizing Humanitarian Relief Networks As a manager in a humanitarian organization,

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: Camp 1 6,000 Camp 2 4,500 Camp 3 Camp 4 6,700 4,700 Camp 5 4,300 Camp 6 6,000 Dry Food Fuel 3,000 2,500 3,000 3,000 2,700 3,800 560 650 700 560 600 Medical 800 Supply 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 40$, 25$, and 120$, respectively. The shipment costs from your organization's headquarters to each processing center and camp is given below: Headquarter Processing Center, Processing Center, Processing Center, Region A Region B Region C Processing Center, $10/unit Region A Processing Center, $16/unit Region B Processing Center, $14/unit Region C Camp 1 $16/unit Camp 2 $13/unit Camp3 $28/unit $4 $2 $11 Camp 4 $5 Camp 5 $24/unit $18/unit $20/unit $6 Camp 6 $5 Any supply that is not shipped from your organization can be acquired locally around the camps, but they would cost 100% more, i.e. dry food, fuel and medical supply would cost 80$/unit, 50$/unit, and 240$/unit, respectively. Find the routing that would minimize the total cost. 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: Camp 1 6,000 Camp 2 4,500 Camp 3 Camp 4 6,700 4,700 Camp 5 4,300 Camp 6 6,000 Dry Food Fuel 3,000 2,500 3,000 3,000 2,700 3,800 560 650 700 560 600 Medical 800 Supply 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 40$, 25$, and 120$, respectively. The shipment costs from your organization's headquarters to each processing center and camp is given below: Headquarter Processing Center, Processing Center, Processing Center, Region A Region B Region C Processing Center, $10/unit Region A Processing Center, $16/unit Region B Processing Center, $14/unit Region C Camp 1 $16/unit Camp 2 $13/unit Camp3 $28/unit $4 $2 $11 Camp 4 $5 Camp 5 $24/unit $18/unit $20/unit $6 Camp 6 $5 Any supply that is not shipped from your organization can be acquired locally around the camps, but they would cost 100% more, i.e. dry food, fuel and medical supply would cost 80$/unit, 50$/unit, and 240$/unit, respectively. Find the routing that would minimize the total cost

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