2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro-gramme giving the initial tableau and each further tableau produced. Give thestarting tableau for the second phase if there is one.maximize 2x1 x23x3subject toX2- x3 ≤ 2,x13x2+2x3 ≥ 3,2x12x2 x3 = 4,x1, x2, x3 0.

Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Answered: 2. Apply the first phase of the 2-phase…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 82E

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Similar questions

Graph: 3x+2y6.
If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving the initial tableau and each further tableau produced. Give the starting tableau for the second phase if there is one. maximize 2x1 + x2+3x3 subject to x2-x32, 1+3x2+2x3 ≥ 3, 2x1 +22+3 = 4, x1, x2, x3 0.
Solve the following linear programs (LPs) using the simplex algorithm. • For each tableau you obtain, write the associated BFS and its objective value. • For each LP, find the complete optimal solution set and write it using appropriate mathematical notation. Use only the information in the tableaux to justify your answer. minimize z(x1, x2) subject to -x1 X2 + x2 0
Use the dual simplex algorithm in order to find a solution if the constraint x1 <= 2 is added
Explain the purpose of artificial variables and slack variables in the context of the 2-phase simplex algorithm. Specifically, for both kinds of variables explain why are they introduced, what each one of them measures, and what we can conclude when they are set to zero. 6.
Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1, x2, x3) = 3x1+ x2 + 2x3 subject to: 3x1 + 2x2 + x3 0. You must address each of the 5 steps of the algorithm as presented in the course notes and videos in your answer.
Solve the following linear programs (LPs) using the simplex algorithm. • For each tableau you obtain, write the associated BFS and its objective value. • For each LP, find the complete optimal solution set and write it using appropriate mathematical notation. Use only the information in the tableaux to justify your answer. X1 X2 X3 X4 RHS X1 1 1 -2 X2 1 -2 1 -1 2
A workshop that produces two types of chemicals, Article (1) needs 2 km of material B and 3 working hours, and Article (2) provides 4 kg of B and 5 hours, knowing that the owner of 30 units of raw material B in that workshop employs 7 workers. The profit of Article (1) is 3 dinars per unit, and the profit of the second chemical is 2 dinars per unit The problem is required to be represented in a linear programming mod if you know that the number of working hours per worker is 8 hours ?
Max Z = 120X1 + 125X2 + 145X312X1 + 24X2 + 5X3 = 458X1 + 5X2 + 2X2 >= 365X1 + 6X2 + 12X3 <= 16X1, X2, X3 >= 0Create a simplex table for iteration 0 only!

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