Solve the following problems with the two-phase simplex method. For each problem,show your solution to each of the following steps.(a) Transform the original LP into an LP to which phase l of the simplex methodcan be applied.(b) Formulate an artificial LP (ALP) that is solved in phase 1. Use as fewartificial variables as possible.(c) Carry out phase 1 on the ALP using the simplex method.(d) Clearly state an optimal solution and the optimal objective value to theALP.(e) Based on your answer to part (d), draw a conclusion about the feasibility ofthe original LP.(f) Form the initial tableau for phase 2.(g) Obtain the canonical form corresponding to the current basic solution tothe original LP.(h) Carry out phase 2 of the simplex method on the original LP.(i) Clearly state an optimal solution and the optimal objective value to theoriginal LP.minimize 7w19w2+ 4w3-< 9> 14subject toWi18w2W3WĄWiW22w31-W1, W2, W3, WĄ 2 0

We need to solve the following LPP by 2 phase method. MAX Z = 7w1 - 9w2 + 4w3 subject tow1 - 18w2…

Answered: Solve the following problems with the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Perform the solution of the following 2-variable model with the graphic method. Determine the optimum solution area and optimum point.Zmax = 8X1 + 9X2Constraints = 2 X1 + 3 X2 ≥ 12 (1) 5 X1 + 4 X2 ≤ 20 (2)X1 ≥ 3 (3) X2 ≥ 1 (4)And X1, X2 ≥ 0
For the following simplex tableau (a) Compute the next pivot element. (b) Determine the next tableau. (c) Determine the particular solution corresponding to the tableau of part (b). V M 0 0 1 0 y X 12 3 1 4 -5 - 20 X= u 1 0 (a) The pivot element is (b) Find the next tableau. y 0 u 15 0 12 1 0 (c) Find the particular solution corresponding to the tableau in part (b). <=₁y=₁u=₁v=₁M= V= V M
4- Solve the following problem by the two-phase simplex method: Min x₁ + 3x2 - X3 s.t 2x₁ + x₂ + x3 ≥ 3 -x₂ + 5x₂ + x3 ≤ 4 ≥2 -x₁ + x₂ X1, X2, X3 20
Need help in my optimization class.
For the following simplex tableau (a) Compute the next pivot element. (b) Determine the next tableau. (c) Determine the particular solution corresponding to the tableau of part (b). X y u V M 6 2 1 0 0 101 1 3 0 1 0 6 -5 - 15 0 0 1 (a) The pivot element is (b) Find the next tableau. X V u V M (c) Find the particular solution corresponding to the tableau in part (b). x=y=₁u=v=0,M=
I need help with the following optimization problem. I think i have managed something by using hamilton equation. However I would love help with this question so i can compare my answer and learn.
2x/5+5x=22/15
Using the 2-Phase method, work through the simplex method step-by-step to solve the problem. Construct the artificial problem using slack/surplus/artificial variables.
Consider the following simplex tableau. x y z s1 s2 s3 P constant -10 0 0 -1 3 1 0 300 −6 1 0 −5 1 0 0 2,750 −7 0 1 2 8 0 0 14 9 0 0 −4 −1 0 1 540 (a) State the value of each variable. x= y= z= s1= s2= s3= P= State whether the variables are basic or non-basic. x y z s1 s2 s3 P (b) Is the given simplex tableau a final tableau?
Let f(x, y) = xy² and r(t) = (¹/1²,t³). Calculate Vf. (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer in the form (*, *). ) Vf= Calculate r' (t). (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer in the form (*, *). ) r' (t) = Use the Chain Rule for Paths to evaluateƒ(r(t)) at t = 1.5. (Use decimal notation. Give your answer to three decimal places.) d dt - ƒ(r(1.5)) = = Use the Chain Rule for Paths to evaluate ƒ(r(t)) at t = -1.7. (Use decimal notation. Give your answer to three decimal places.) d dt d f(r(-1.7)) =
A wheat farmer is converting to corn because he believes that corn is a more lucrative crop. It is not feasible for him to convert all his acreage to corn at once. He is farming 500 acres of corn in the current year and is increasing that number by 30 acres per year. As he becomes more experienced in growing corn, his output increases. He currently harvests 150 bushels of corn per acre, but the yield is increasing by 4 bushels per acre per year. When both the increasing acreage and the increasing yield are considered, how rapidly is the total number of bushels of corn currently increasing? ____________ bushels per year

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