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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. Commodity A B C D Amount Available (tons) 4,800 2,500 1,200 1,700 Volume per Ton (cubic feet) 40 25 60 55 Profit per Ton ($) 70 50 60 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 Forward Center Read Weight Capacity (tons) 3,000 6,000 4,000 Volume Capacity (cubic feet) 145,000 180,000 155,000 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% and 60% of the total weight on board. 1. Formulate the LP model for this problem. 2. Create the spreadsheet model and use Solver to solve the problem.   Please use excell!!!

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. Commodity A B C D Amount Available (tons) 4,800 2,500 1,200 1,700 Volume per Ton (cubic feet) 40 25 60 55 Profit per Ton ($) 70 50 60 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 Forward Center Read Weight Capacity (tons) 3,000 6,000 4,000 Volume Capacity (cubic feet) 145,000 180,000 155,000 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% and 60% of the total weight on board. 1. Formulate the LP model for this problem. 2. Create the spreadsheet model and use Solver to solve the problem.   Please use excell!!!

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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.

Commodity

A B C D

Amount Available (tons)
4,800
2,500
1,200
1,700

Volume per Ton (cubic feet) 40
25
60
55

Profit per Ton ($)
70
50
60
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

Forward Center Read

Weight Capacity (tons) 3,000 6,000 4,000

Volume Capacity (cubic feet) 145,000 180,000 155,000

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% and 60% of the total weight on board.

1. Formulate the LP model for this problem.
2. Create the spreadsheet model and use Solver to solve the problem.

 

Please use excell!!! 

LP MODEL FA - Tons in Forward A FB -Tons in Forward B FC Tons in Forward C FD- Tons in Forward D CA -Tons in Center A CB Tons in Center B CC Tons in Center C CD-Tons in Center B RA -Tons in Rear A RB Tons in Rear B RC-Tons in Rear C RD- Tons in Rear D Obj Function ST MAX 70FA + 50FB + + 60FC + 80FD + 70CA + 50CB + + 60CC + 80CD + 70RA + 50RB + + 60RC + 80RD FA + FB + FC + FD + CA + CB + CC + CD + RA + RB + RC +RD <= 13000 FA + CA+ RA <= 4800 FB + CB+ RB <= 2500 FC + CC + RC <= 1200 FD + CD + RD <= 1700 FA+ FB + FC + FD <= 3000 CA + CB + CC + CD <= 6000 RA + RB + RC + RD <= 4000 40FA +25FB + 60FC + 55FD <= 145000 40CA + 25CB + 60CC + 55CD <= 180000 40RA + 25RB + 60RC + 55RD <= 155000 CA + CB + CC + CD <= .6(FA + FB + FC + FD + CA + CB + CC + CD + RA + RB + RC +RD) FA+ FB + FC + FD >= .9(RA + RB + RC + RB) |CA + CB + CC + CD >= .4(FA + FB + FC + FD + CA + CB + CC + CD + RA + RB + RC +RD)
Transcribed Image Text:LP MODEL FA - Tons in Forward A FB -Tons in Forward B FC Tons in Forward C FD- Tons in Forward D CA -Tons in Center A CB Tons in Center B CC Tons in Center C CD-Tons in Center B RA -Tons in Rear A RB Tons in Rear B RC-Tons in Rear C RD- Tons in Rear D Obj Function ST MAX 70FA + 50FB + + 60FC + 80FD + 70CA + 50CB + + 60CC + 80CD + 70RA + 50RB + + 60RC + 80RD FA + FB + FC + FD + CA + CB + CC + CD + RA + RB + RC +RD <= 13000 FA + CA+ RA <= 4800 FB + CB+ RB <= 2500 FC + CC + RC <= 1200 FD + CD + RD <= 1700 FA+ FB + FC + FD <= 3000 CA + CB + CC + CD <= 6000 RA + RB + RC + RD <= 4000 40FA +25FB + 60FC + 55FD <= 145000 40CA + 25CB + 60CC + 55CD <= 180000 40RA + 25RB + 60RC + 55RD <= 155000 CA + CB + CC + CD <= .6(FA + FB + FC + FD + CA + CB + CC + CD + RA + RB + RC +RD) FA+ FB + FC + FD >= .9(RA + RB + RC + RB) |CA + CB + CC + CD >= .4(FA + FB + FC + FD + CA + CB + CC + CD + RA + RB + RC +RD)
A FA B FB с FC D FD E CA F CB G CC H I SOLVER MODEL CD RA J RB K RC L RD M N LHS O ô ô ô ô ô ô ô ô ô ô ô ô SIGN P RHS
Transcribed Image Text:A FA B FB с FC D FD E CA F CB G CC H I SOLVER MODEL CD RA J RB K RC L RD M N LHS O ô ô ô ô ô ô ô ô ô ô ô ô SIGN P RHS
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