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…

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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LINEAR PROGRAMMING. A certain Repair Shop with only the owner doing the repair job would like to earn P3,000.00 for two days. On the average, he charges P500 per piece for the repair of one unit of laptop and P200 for the repair of each unit of one cellphone. He works for 8 hours a day. He spends on the average 2 hours to repair a unit of laptop and 1.5 hours to repair a cellphone. Using linear programming, determine how many units of laptops and how units of cellphone he must repair for two days in order for him to earn exactly P3,000.00 for two days. You may use linear equations and/or inequalities to arrive at the answers. Check the consistency of your answers.
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
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Suppose X1 and X2 are defined as: X1 =number of tables to produce, X2 =number of chairs to produce. Answer the following questions: (a) Write an expression representing total number of tables and chairs to be produced in terms of X1 and X2. (b) Suppose a table generates $28 of profit, and a chair generates $24 of profit. What is the expression representing the total profit of X1 tables and X2 chairs? (c) Suppose a table takes 3.3 hours of carpentry and 2.7 hours of painting. What is the expression representing total number of painting hours to be used for producing X1 tables? (d) Suppose a table takes 3 hours of carpentry, a chair takes 2 hours of carpentry, and there are 400 hours of carpentry available. Use a constraint to represent “The total carpentry hours to be used should be no more than the available carpentry hours.” (e) Use a constraint to represent “At least 34 chairs must be produced”; (f) Use a constraint to represent “No more than 380 chairs will be produced.” (g) Use a…
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.

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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