Suppose that you are in charge of loading cargo ships for a shipping company at Newport
Question: Question 3: Suppose that you are in charge of loading cargo ships for a shipping company at Newport Beach Port. Ca. You are preparing a loading plan destined for Japan and an agricultural commodities dealer wants to transport the followin2 products aboard this ship.
|
Commodity |
Amount Available (tons) |
Volume per Ton (cubic feet) |
Profit per Ton (S) |
| 1 |
4,800 |
40 |
700 |
| 2 |
2,500 |
25 |
500 |
| 3 |
1,200 |
60 |
600 |
| 4 |
1,700 |
55 |
8OO |
You 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 |
More than one type of commodity can be placed in the same cargo hold. However, because of balance considerations, the weight of 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.
Formulate the LP model for this problem to maximize the profit while satisfying the necessary constraints. Define the appropriate variables and write down the formulation. You do not need to solve the problem.
Solution Format: Word Document
