A ship has three cargo holds, forward, aft and center. The capacity limits are: • Forward 2000 tons, 100,000 cubic meters • Center 3000 tons, 135,000 cubic meters • Aft 1500 tons, 30,000 cubic meters. The following cargoes are offered, the ship owners may accept all or any part of each commodity: . Commodity A B с Amount in tons. 6000 4000 2000 Volume/ton in cubic meters 60 50 25 Profit per ton in Rs. 60 80 50 In order to preserve the trim of the ship the weight in each hold must be proportional to the capacity in tons. How should the cargo be distributed so as to maximize profit? Formulate this as linear programming problem.
A ship has three cargo holds, forward, aft and center. The capacity limits are: • Forward 2000 tons, 100,000 cubic meters • Center 3000 tons, 135,000 cubic meters • Aft 1500 tons, 30,000 cubic meters. The following cargoes are offered, the ship owners may accept all or any part of each commodity: . Commodity A B с Amount in tons. 6000 4000 2000 Volume/ton in cubic meters 60 50 25 Profit per ton in Rs. 60 80 50 In order to preserve the trim of the ship the weight in each hold must be proportional to the capacity in tons. How should the cargo be distributed so as to maximize profit? Formulate this as linear programming problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Exersise 2 (Maximization Models)
A ship has three cargo holds, forward, aft and center. The capacity limits are:
• Forward 2000 tons, 100,000 cubic meters
• Center 3000 tons, 135,000 cubic meters
• Aft 1500 tons, 30,000 cubic meters.
• The following cargoes are offered, the ship owners may accept all or any part of each commodity:
Commodity
A
B
C
Amount in tons.
6000
4000
2000
Volume/ton in cubic meters
60
50
25
Profit per ton in Rs.
60
80
50
In order to preserve the trim of the ship the weight in each hold must be proportional to the
capacity in tons. How should the cargo be distributed so as to maximize profit? Formulate this as linear
programming problem.
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