Solve the following linear program by simplex methods. (Write down the simplex tableau for each iterations)maximize 5x₁ + 4x2 + 3x34x₁ + 3x2 + x3 ≤ 104x1 + x₂ + 2x3 ≤ 113x1 +4x2+2x3 ≤ 8X1, X2, X30

Linear programming is an approach that is used to find the best potential outcome in a mathematical…

Answered: Solve the following linear program by…

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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Simplex Method (Use Two-Phase Method by H. Taha)
Need help only with finding the optimal solution
I don't need handwritten answer. Only typed answer is allowed. The figure also should not be hand drawn.
example 5a
Estimate a range for the optimal objective value for the following LPs: *(a) Minimize z = 5x₁ + 2x₂ subject to (b) Maximize z subject to x₁ + 5x₂ + 3x3 X₁ X₂ ≥ 3 2x₁ + 3x₂ = 5 X1, X₂ ≥ 0 x₁ + 2x₂ + x3 = 30 2x₁ - x₂ = 40 X1, X2, X3 ≥ 0
only (a)
Find the values of x1 and x2 where the following two constraints intersect. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (1) 12x1 + 9x22 73 (2) 6x1 + 2x2 12 x1 x2 Noxt
Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New Yeti. The Monsterville plant produces according to eM(x1,x2) = min{xX1,2x2} and the New Yeti plant produces according to eNY(x1,x2) = min{2x1,x2}, where xi and x2 are the inputs. iii. How much of each input will the firm need in order to produce 20 units electricity in the New Yeti plant? iv. Assume now that Monsters, Inc. decides to produce 40 units of electricity and it can split production in any manner between the two plants. Is the technology available to this firm convex or concave? Explain your answer.
1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.

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Solve the following linear program by simplex methods. (Write down the simplex tableau for each iteration maximize 5x1 + 4x2 + 3x3 4x1 + 3x2 + x3 ≤ 10 4x1 + x₂ + 2x3 ≤ 11 3x1 +4x2+2x3 ≤8 X1, X2, X3 20