Consider the following Simplex problem: Max. Z= 20 X1-16 X2+24 X3 S.T: 6 X1 + 3 X2 36 less than or equal to (1) -------- 8 X, + 16 X2-12 X3 less than or equal to 96 -(2) ---- --- 10 X2 + 20 X3 less than or equal to 40 - (3) Where: X1 , X2 , X3 greater than or equal to 0 1- Prepare the initial (first) table of Simplex 2- Determine the Entering Variable (EV) and Leaving Variable (LV) 3-ls the above solution represent an optimal solution? If not, prepare the Second table of simplex..

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following Simplex problem:
Max. Z= 20 X1-16 X2+24 X3
S.T:
6 X, + 3 X2
less than or equal to
36 -
--- (1)
---
8 X1 + 16 X2-12 X3 less than or equal to
96
-(2)
----
-----
10 X2 + 20 X3
less than or equal to
40
-- (3)
Where: X1 , X2 , X3 greater than or equal to
1- Prepare the initial (first) table of Simplex
2- Determine the Entering Variable (EV) and Leaving Variable (LV)
3-ls the above solution represent an optimal solution? If not, prepare the
Second table of simplex..
Transcribed Image Text:Consider the following Simplex problem: Max. Z= 20 X1-16 X2+24 X3 S.T: 6 X, + 3 X2 less than or equal to 36 - --- (1) --- 8 X1 + 16 X2-12 X3 less than or equal to 96 -(2) ---- ----- 10 X2 + 20 X3 less than or equal to 40 -- (3) Where: X1 , X2 , X3 greater than or equal to 1- Prepare the initial (first) table of Simplex 2- Determine the Entering Variable (EV) and Leaving Variable (LV) 3-ls the above solution represent an optimal solution? If not, prepare the Second table of simplex..
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