↓Save(A) Introduce slack, surplus, and artificial variables andform the modified problem.(B) Write the preliminary simplex tableau for the modifiedproblem and find the initial simplex tableau.(C) Find the optimal solution of the modified problem byapplying the simplex method to the initial simplex tableau.(D) Find the optimal solution of the original problem, if itexists.subject toMaximizeP= 3x1 +5x22x1 + x2 524x1 + x2 = 18X1, X220(A) Introduce slack, surplus, and artificial variables and form the modified problem.Maximize P=3x1 +5x2-Msubject to2x1 + x2+= 24x1 + x2 += 18X1, X2, S1, a1 20xampleGet more help -Clear allCheck answer

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Answered: ↓ Save (A) Introduce slack, surplus,…

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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Solve the linear programming problem using the simplex method. Maximize subject to OA. The maximum value of P is OB. There is no optimal solution. P = 30x₁ + 40x₂ 2x₁ + x₂ ≤20 x₁ + x₂ ≤14 X₁ + 2x₂ ≤24 x1,x220 Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. when x₁ = and x₂ = 0.
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Determine whether the following statement is true or false, and explain why. A surplus variable of a linear programming problem can never have a negative value during the intermediate steps of the simplex method. Choose the correct answer below. O A. The statement is true. A surplus variable always has a positive value during every step of the simplex method, including intermediate steps. B. The statement is false. A surplus variable cannot have a negative value at the beginning or end of the simplex method. It almost always has a negative value during at least some of the intermediate steps. C. The statement is true. A surplus variable can never have a negative value during any step of the simplex method, including intermediate steps. D. The statement is false. A surplus variable cannot have a negative value at the beginning or end of the simplex method. It may have a negative value during an intermediate step.
Hey I was Hoping if i could get some help with this question. Identify The variables X and Y: Find the objective Function: Graph The Constraints: Identify The vertices of the feasible region and their value
2- Write a linear programming problem with bounded feasible region and alternative optimal solutions. (ex- plain completely)
Solve this LP problem using simplex method. Show all your solutions/tables used. Identify the optimum values of X1, X2, S1, S2, S3, and Z. Maximize Z = 3X1 + 2X2 subject to 6X1 + 4X2 <= 24 X1 + X2 <= 5 X1 <= 3 X1, X2 >= 0
UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWERS.
Derive the linear interpolant through the two data points (1.0, 2.0) and (1.1, 2.5).Then, derive the quadratic interpolant through these two points and the point (1.2, 1.5). Show a graphdepicting this situation.
Solve the linear programming problem by the simplex method. Minimize 5x + y subject to the constraints shown on the right. The minimum value of Mis (Type integers or fractions.) which is attained for x = and y = x + y2 3 4x ≥ 11 x20, y20
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Solve the linear programming problem using the simplex method. Maximize P = -x₁ + 2x₂ subject to x₁ + x₂ ≤2 -X₁ + 3x₂ ≤18 X₁-4x2 ≤8 X₁, X₂ 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum value of P is P= (Simplify your answers.) OB. There is no optimal solution. when x₁ = *** and X₂=
The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2.- Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.- Find the optimal solution algebraically for the Moldex Company problem. What is the Z value when the decision variables have optimal values?

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