Write your solutions on a separate paper and attach it to this sheet. You are welcome to share ideas with others inthe class, but be sure the work you submit is your own.Part IFor the following linear program, solve using the simplex method. In the table, trace the sequence of corner points inthe simplex procedure. Beginning with the solution in your initial tableau, record the basic solution, and the value for z.You may not use all of the rows in the table.Corner Point (x, y)Value of zPart IIMaximize z = 17x + 20y, subject to-7x+10y≤ 503x + 5y < 904x + 5y ≤ 105x≤ 20, x ≥ 0, y ≥ 0Increase in zWrite your final tableau, and verify it represents the optimal solution.Values of Slack Variables(S1, S2, S3)Now, solve the same problem, but use column 1 as the first pivot column, instead of column 2. Record your sequence ofpivots in the table below, as you did in Part I.Corner Point (x, y)Value of zIncrease in zSlack Variables (S1, S2, S3)Notice that this nonstandard procedure increased z by a much higher rate than in Part I and required fewer pivots tofind the optimal solution. Recall that the standard procedure is designed to give the maximum increase in z at eachpivot. Explain why this was not the case in this example. Write your answer in complete sentences. Consider using agraph to aid your explanation.

Part I For the following linear program, solve using the simplex method. In the table, trace the sequence of corner points in the simplex procedure. Beginning with the solution in your initial tableau, record the basic solution, and the value for z. You may not use all of the rows in the table.

Part I For the following linear program, solve using the simplex method. In the table, trace the sequence of corner points in the simplex procedure. Beginning with the solution in your initial tableau, record the basic solution, and the value for z. You may not use all of the rows in the table.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Write your solutions on a separate paper and attach it to this sheet. You are welcome to share ideas with others in
the class, but be sure the work you submit is your own.
Part I
For the following linear program, solve using the simplex method. In the table, trace the sequence of corner points in
the simplex procedure. Beginning with the solution in your initial tableau, record the basic solution, and the value for z.
You may not use all of the rows in the table.
Corner Point (x, y)
Value of z
Part II
Maximize z = 17x + 20y, subject to
-7x+10y≤ 50
3x + 5y < 90
4x + 5y ≤ 105
x≤ 20, x ≥ 0, y ≥ 0
Increase in z
Write your final tableau, and verify it represents the optimal solution.
Values of Slack Variables
(S1, S2, S3)
Now, solve the same problem, but use column 1 as the first pivot column, instead of column 2. Record your sequence of
pivots in the table below, as you did in Part I.
Corner Point (x, y)
Value of z
Increase in z
Slack Variables (S1, S2, S3)
Notice that this nonstandard procedure increased z by a much higher rate than in Part I and required fewer pivots to
find the optimal solution. Recall that the standard procedure is designed to give the maximum increase in z at each
pivot. Explain why this was not the case in this example. Write your answer in complete sentences. Consider using a
graph to aid your explanation.

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