Consider the following linear program in standard maximization form: < -5 < -4 max{x – x2} subject to T1, 12 2 0 Use the Simplex Method (as seen in class) to solve the above linear program. Be sure to: o Indicate all slack and artificial variables you introduce. o Indicate the objective S of the extended tableau. o Whenever your tableau is in RRREF, indicate the current solution's values for all vari- ables. o Before pivoting, indicate the entry you plan to convert to the next pivot. o Clearly indicate why you should stop the algorithm and give a precise conclusion. Draw the feasible region in a fairly large and well-scaled diagram. Determine the coordi- nates of each vertex and label the vertices of the feasible region in your diagram. Based on the graphical approach, describe the optimal solutions of this LP (if any).
Consider the following linear program in standard maximization form: < -5 < -4 max{x – x2} subject to T1, 12 2 0 Use the Simplex Method (as seen in class) to solve the above linear program. Be sure to: o Indicate all slack and artificial variables you introduce. o Indicate the objective S of the extended tableau. o Whenever your tableau is in RRREF, indicate the current solution's values for all vari- ables. o Before pivoting, indicate the entry you plan to convert to the next pivot. o Clearly indicate why you should stop the algorithm and give a precise conclusion. Draw the feasible region in a fairly large and well-scaled diagram. Determine the coordi- nates of each vertex and label the vertices of the feasible region in your diagram. Based on the graphical approach, describe the optimal solutions of this LP (if any).
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:Q6.
Consider the following linear program in standard maximization form:
-5
max{r1 – x2} subject to
-4
X1, 12
a) Use the Simplex Method (as seen in class) to solve the above linear program. Be sure to:
o Indicate all slack and artificial variables you introduce.
o Indicate the objective S of the extended tableau.
o Whenever your tableau is in RRREF, indicate the current solution's values for all vari-
ables.
o Before pivoting, indicate the entry you plan to convert to the next pivot.
o Clearly indicate why you should stop the algorithm and give a precise conclusion.
b) Draw the feasible region in a fairly large and well-scaled diagram. Determine the coordi-
nates of each vertex and label the vertices of the feasible region in your diagram.
c) Based on the graphical approach, describe the optimal solutions of this LP (if any).
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