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.

Price: $2.99
Solution: The solution file consists of 3 pages
Solution Format: Word Document

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