Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The following LP formulation represents a transportation problem where raw material (in tons) is transported from Supplier i, i={1,2,3) to Plant j, j={1,2,3). The problem is solved and the optimal objective function value is 5200. Using the sensitivity report shown below, what would be the optimal total cost if the cost of transporting 1 ton from Supplier 2 to Plant 3 becomes 5? Min Total cost = 1x11 + 3x12 + 5x13+3.5x21 +4x22+4.8x23 +3.5x31+3.6x32 +3.2x33 Subiect to

The following LP formulation represents a transportation problem where raw material (in tons) is transported from Supplier i, i={1,2,3) to Plant j, j={1,2,3). The problem is solved and the optimal objective function value is 5200. Using the sensitivity report shown below, what would be the optimal total cost if the cost of transporting 1 ton from Supplier 2 to Plant 3 becomes 5? Min Total cost = 1x11 + 3x12 + 5x13+3.5x21 +4x22+4.8x23 +3.5x31+3.6x32 +3.2x33 Subiect to

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
The following LP formulation represents a transportation problem where raw material (in tons) is transported from Supplier i, i={1,2,3) to Plant j, j={1,2,3). The problem is solved and the optimal objective function value is 5200. Using the sensitivity report shown below, what would be the optimal total cost if the cost of transporting 1 ton from Supplier 2 to Plant 3 becomes 5? Min Total cost = 1x11 + 3x12 + 5x13+3.5x21 +4x22+4.8x23 +3.5x31+3.6x32 +3.2x33 Subject to x31+x32+x33 <= 500 x11+x21+x31 = 500 x12+x22+x32= 700 x13+x23+x33 = 600 xij<=200, for i= {2,3} &j= {1, 2, 3) xij >= 0, for i= {(1,2,3) X &j= {1, 2, 3) Final Reduced Objective Allowable Allowable Name Value Cost Coefficient Increase Decrease 500 0 1 2.5 1E+30 700 0 3 0.6 1E+30 0.2 200 5 0 2.5 1E+30 1E+30 1E+30 0.2 1E+30 1 IE+30 2.5 1E+30 0.6 1E+30 1.8 Variables X11 X12 X13 X21 X22 X23 X31 X32 X33 0 200 0 0 200 0 0 0 0 0 0 0 3.5 4 4.8 3.5 3.6 3.2
Transcribed Image Text:The following LP formulation represents a transportation problem where raw material (in tons) is transported from Supplier i, i={1,2,3) to Plant j, j={1,2,3). The problem is solved and the optimal objective function value is 5200. Using the sensitivity report shown below, what would be the optimal total cost if the cost of transporting 1 ton from Supplier 2 to Plant 3 becomes 5? Min Total cost = 1x11 + 3x12 + 5x13+3.5x21 +4x22+4.8x23 +3.5x31+3.6x32 +3.2x33 Subject to x31+x32+x33 <= 500 x11+x21+x31 = 500 x12+x22+x32= 700 x13+x23+x33 = 600 xij<=200, for i= {2,3} &j= {1, 2, 3) xij >= 0, for i= {(1,2,3) X &j= {1, 2, 3) Final Reduced Objective Allowable Allowable Name Value Cost Coefficient Increase Decrease 500 0 1 2.5 1E+30 700 0 3 0.6 1E+30 0.2 200 5 0 2.5 1E+30 1E+30 1E+30 0.2 1E+30 1 IE+30 2.5 1E+30 0.6 1E+30 1.8 Variables X11 X12 X13 X21 X22 X23 X31 X32 X33 0 200 0 0 200 0 0 0 0 0 0 0 3.5 4 4.8 3.5 3.6 3.2
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

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