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 wants to transport the following products aboard this ship 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. More than one type of commodity can be placed in the same 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% to 60% of the total weight on board.a. Formulate an LP model for this problem.b. Create a spreadsheet model for this problem and solve it using Solver. c. What is the optimal solution?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 wants to transport the following products aboard this ship

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.

More than one type of commodity can be placed in the same 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% to 60% of the total weight on board.a. Formulate an LP model for this problem.b. Create a spreadsheet model for this problem and solve it using Solver. c. What is the optimal solution? 

 

Cargo Hold
Weight Capacity (tons)
Volume Capacity (cubic feet)
Forward
3,000
145,000
Center
6,000
180,000
Rear
4,000
155,000
Transcribed Image Text:Cargo Hold Weight Capacity (tons) Volume Capacity (cubic feet) Forward 3,000 145,000 Center 6,000 180,000 Rear 4,000 155,000
Volume per.Ton.
(cubic feet)
Amount.Available
Commodity
Profit per Ton
(Š)
(tans)
4,800
1
40
70
2,500
25
50
3
1,200
60
60
4
1,700
55
80
Transcribed Image Text:Volume per.Ton. (cubic feet) Amount.Available Commodity Profit per Ton (Š) (tans) 4,800 1 40 70 2,500 25 50 3 1,200 60 60 4 1,700 55 80
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