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   Amount Available  Volume per Ton  Profit per Ton                          (tons)                   (cubic feet)            ($)                                                                            A                       4,800                      40                        70 B                      2,500                      25                         50 C                     1,200                      60                          60 D                     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      Volume Capacity                                (tons)                         (cubic feet) Forward             3,000                       145,000 Center              6,000                          180,000 Read               4,000                           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.

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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   Amount Available  Volume per Ton  Profit per Ton
                         (tons)                   (cubic feet)            ($)                                                                           
A                       4,800                      40                        70
B                      2,500                      25                         50
C                     1,200                      60                          60
D                     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      Volume Capacity

                               (tons)                         (cubic feet)

Forward             3,000                       145,000
Center              6,000                          180,000
Read               4,000                           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.

Puding vargo shige for International Cargo Company
1
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
Amount Available Volume per Ton Profit per Ton
(cubic feet)
(tons)
($)
A
4,800
40
70
B
2,500
25
50
C
1,200
60
60
D
1,700
55
80
Paul can elect to load any and/or all of the available commodities. However, the
ship has three cargo holds with the following capacity restrictions.
Cargo Hold
Volume Capacity
Weight Capacity
(tons)
(cubic feet)
Forward
3,000
145,000
Center
6,000
180,000
Read
4,000
155,000
More than one type of commodity can be placed in the same cargo hold. However,
because of balance considerations, the weight in the forward cargo hold must be
within 10% of the weight in the rear cargo hold, and the center cargo hold must be
between 40% and 60% of the total weight on board.
1. Formulate the LP model for this problem.
2. Create the spreadsheet model and use Solver to solve the problem.
Transcribed Image Text:Puding vargo shige for International Cargo Company 1 Paul Bergey is in charge of loading cargo ships for International Cargo Company (ICC) at the port in Newport News, Virginia. Paul is preparing a loading plan for an ICC freighter destined for Ghana. An agricultural commodities dealer wants to transport the following products aboard this ship. Commodity Amount Available Volume per Ton Profit per Ton (cubic feet) (tons) ($) A 4,800 40 70 B 2,500 25 50 C 1,200 60 60 D 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 Volume Capacity Weight Capacity (tons) (cubic feet) Forward 3,000 145,000 Center 6,000 180,000 Read 4,000 155,000 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.
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