Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 8 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS