Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
A simplex matrix for a standard maximization problem is given. 8 17 1 0 00 128 6 51 0 1 00 420 18 17 0 010 420 -6 -3 0 0 0 1 (a) Write the values of all the variables (use x1, x2, x3,... and s,, S2, Sy,...) and of the objective function f. X2 = 52 = S3 = f= (b) Indicate whether or not the solution from part (a) is complete (optimal). O Yes, the solution is complete (optimal). O No, the solution is not complete. O No solution is possible. (c) If the solution is not complete, find the next pivot or indicate that no solution exists. (If an answer does not exist, enter DNE.) row number of next pivot ---Select-V Select-v column number of next pivot next pivot element When a new pivot can be found, state all row operations with that pivot (that is, row operations that make that pivot equal to 1, and then make other entries in the pivot column equal to 0). Do not perform the row operations. R-Ri -6R1 + R2- R2 -18R, + Ra-R3 6R, + R4- R4 R2- R2 -8R2 + R-R -18R, + R3- R3 6R2 + R4 - R4 R3-R3 -8R3 + R1-R1 -6R3 + R2- R2 6R + R4- R4 O The solution is complete. No new pivot needs to be found and no further row operations are necessary. O No solution is possible. No pivot can be found.

A simplex matrix for a standard maximization problem is given. 8 17 1 0 00 128 6 51 0 1 00 420 18 17 0 010 420 -6 -3 0 0 0 1 (a) Write the values of all the variables (use x1, x2, x3,... and s,, S2, Sy,...) and of the objective function f. X2 = 52 = S3 = f= (b) Indicate whether or not the solution from part (a) is complete (optimal). O Yes, the solution is complete (optimal). O No, the solution is not complete. O No solution is possible. (c) If the solution is not complete, find the next pivot or indicate that no solution exists. (If an answer does not exist, enter DNE.) row number of next pivot ---Select-V Select-v column number of next pivot next pivot element When a new pivot can be found, state all row operations with that pivot (that is, row operations that make that pivot equal to 1, and then make other entries in the pivot column equal to 0). Do not perform the row operations. R-Ri -6R1 + R2- R2 -18R, + Ra-R3 6R, + R4- R4 R2- R2 -8R2 + R-R -18R, + R3- R3 6R2 + R4 - R4 R3-R3 -8R3 + R1-R1 -6R3 + R2- R2 6R + R4- R4 O The solution is complete. No new pivot needs to be found and no further row operations are necessary. O No solution is possible. No pivot can be found.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.6: More Applications Of Matrix Operations
Problem 11E
See similar textbooks
icon
Related questions
Topic Video
Question
Q A simplex matrix for a standard maximization problem is given. 8 17 1 0 00 128 6 51 0 1 0 0 420 18 17 0 010 420 -6 -3 0 001 (a) Write the values of all the variables (use x1, x2, X3, · . . and s1, S2, S3,... and of the objective function f. X1 = X2 = S1 = S2 = S3 = f = (b) Indicate whether or not the solution from part (a) is complete (optimal). Yes, the solution is complete (optimal). No, the solution is not complete. No solution is possible. (c) If the solution is not complete, find the next pivot or indicate that no solution exists. (If an answer does not exist, enter DNE.) row number of next pivot ---Select--- v column number of next pivot ---Select- v next pivot element When a new pivot can be found, state all row operations with that pivot (that is, row operations that make that pivot equal to 1, and then make other entries in the pivot column equal to 0). Do not perform the row operations. R1-R1 -6R1 + R2- R2 -18R1 + R3- R3 6R1 + R4- R4 : R2-R2 -8R2 + R1-R1 -18R2 + R3-R3 6R2 + R4- R4 R3- R3 18 -8R3 + R1-R1 -6R3 + R2- R2 6R3 + R4- R4 The solution is complete. No new pivot needs to be found and no further row operations are necessary. O No solution is possible. No pivot can be found.
Transcribed Image Text:Q A simplex matrix for a standard maximization problem is given. 8 17 1 0 00 128 6 51 0 1 0 0 420 18 17 0 010 420 -6 -3 0 001 (a) Write the values of all the variables (use x1, x2, X3, · . . and s1, S2, S3,... and of the objective function f. X1 = X2 = S1 = S2 = S3 = f = (b) Indicate whether or not the solution from part (a) is complete (optimal). Yes, the solution is complete (optimal). No, the solution is not complete. No solution is possible. (c) If the solution is not complete, find the next pivot or indicate that no solution exists. (If an answer does not exist, enter DNE.) row number of next pivot ---Select--- v column number of next pivot ---Select- v next pivot element When a new pivot can be found, state all row operations with that pivot (that is, row operations that make that pivot equal to 1, and then make other entries in the pivot column equal to 0). Do not perform the row operations. R1-R1 -6R1 + R2- R2 -18R1 + R3- R3 6R1 + R4- R4 : R2-R2 -8R2 + R1-R1 -18R2 + R3-R3 6R2 + R4- R4 R3- R3 18 -8R3 + R1-R1 -6R3 + R2- R2 6R3 + R4- R4 The solution is complete. No new pivot needs to be found and no further row operations are necessary. O No solution is possible. No pivot can be found.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS