Question: Please show excel solver with formulations. Paul Bergey is in charge of loading cargo ships for International Cargo Company (ICC) at the port in Newport

Please show excel solver with formulations. PaulPlease show excel solver with formulations. PaulPlease show excel solver with formulations. Paul

Please show excel solver with formulations.

Paul Bergey is in charge of loading cargo ships for International Cargo Company (ICC) at the port in Newport News, Virginia. Paul is preparing a loading plan for an ICC freighter destined for Ghana. An agricultural commodities dealer would like to transport the following products aboard this ship. Commodity Amount Available (Tons) Volume per Ton (Cubic Feet) Profit per Ton ($) 1 4,800 40 70 2 2,500 25 50 3 1,200 60 60 4 1,700 55 80 Paul can elect to load any and/or all of the available commodities. However, the ship has three cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (Tons) Volume Capacity (Cubic Feet) Forward 3,000 145,000 Center 6,000 180,000 Rear 4,000 155,000 Only one type of commodity can be placed into any cargo hold. However, because of balance considerations, the weight in the forward cargo hold must be within 10% of the weight in the rear cargo hold, and the center cargo hold must be between 40% and 60% of the total weight on board. a. Formulate an ILP model for this problem. b. Create a spreadsheet model for this problem, and solve it using Solver. c. What is the optimal solution? A B C D E F G H I J K 1 2 ICC 3 Total Weight Total Volume 4 1 2. 3 4 5 Max Weight 3000 6000 4000 Max Volume 145000 180000 155000 6 7 8 Forward Center Rear Loaded Available Volume / ton Profit / ton 9 10 11 4800 40 $70.0 2500 25 $50.0 1200 60 $60.0 1700 55 $80.0 12 13 Total Profit 14 15 16 17 18 Weight Balance Constraints min max 0 0 within 10% of rear 0 0 between 40 to 60% of total Forward Center 19 20 1 2 3 4 Sum 21 22 23 Binary Variables Forward Center Rear 1 2 3 4 24 25 26 27 28 Linking Constraints Forward Center Rear 29 30 31

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