Execute phase 2 of the two-phase method for the linear program in the previous questionto find the solution to the linear program. Execute phase 1 of the two-phase method to find an initial basic feasible solution for thefollowing linear program.Maximize z- [-2 3-1-1] 7-2 -32s.t.1 -17201-8-B

Let, given problem:Objective Function:Maximize: Subject to:The problem will be adapted to the…

Answered: Execute phase 1 of the two-phase method…

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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The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X2 S2 S3 15 1 1 30 1 1 1 -2 1 ... The maximum is when x, = x2 =S, =D S2 = and s3 =D , and s3= %3D %3D (Type integers or simplified fractions.)
#4 Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative.Maximize f = 6x + 9y + 6z subject to 4x + 7y + 9z ≤ 100 6x + 5y + z ≤ 135 x + 4y + 9z ≤ 30
Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method: Basic x1 X2 81 €2 a2 a3 Solution 2 0 3- M 0 M-3 3-4M 0 60+ 10M 81 0 5/4 1 1/4 4 0 7 1 1 x1 0 -1 0 0 20 2 0 a3 1 -1 1 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. (b) Is this tableau optimal? Explain your answer. (c) Suppose that the LP models a maximisation problem. i. Obtain the entering variable. Explain your answer. ii. Obtain the leaving variable. Explain your answer. iii. Based on your answer in (ii), explicitly identify the type of solution for the LP.
Execute phase 1 of the two-phase method to find an initial basic feasible solution for the following linear program. Maximize z= -2 3-1-1] -2 -3 -2 -1 2 1 s.t. * 20 I - [8] =
Determine the optimal solution for the following linear programming problem using the Two Phase Method. Maximize Z = 5x1 + 8x2 subject to 3x₁ + 2x₂ ≥ 3 X₁ + 4x₂ ≥ 4 X₁ + X₂ ≤ 5 X1, X₂ ≥ 0
Solve the following Linear Programming Problem using the two-phase method, showing all the interactions:
2. Consider the function y(x) = 5x over the interval [0, 10]. (a) If the points A(0, y(0)), B(5, y(5)), and C(10, y(10)) are on the curve represented by the above function, find the slope of the lines (secants) AB, and AC, respectively. (b) If x represents time and y represents the displacement of a particle moving along a line, what is the physical meaning of your results to part (a)? (c) Now consider a point D(10 – h, y(10 – h)) on the curve represented by the given function, find the slope of the line DC. (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical meaning of your result to part (d) if again x represents time and y represents the displacement?
Solve the following linear programming problem by graphing: Round to 0.01 Maximize p = 2x + 3y 2x + 5y > Subject To: 5x 2y 0, y > 0} y = p = + +
EXERCISES Consider the following linear programming problem. maximize z = 4x1 + 3x2 subject to -X + x2 s 6 2x, + x2 s 20 X + x2 s 12 X1, x2 2 0 (a) Solve this problem graphically. (b) Solve this problem by the algebraic simplex method described in Example 4.1, and at each iteration, identify the corresponding extreme-point solution on the graph. (c) Identify the basic variables, the nonbasic variables, and the basis matrix B at each iteration.
Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem. X2 X3 X4 51 $2 $3 0 0 .375 .625 1 0 0 480 0 .75 .5 .375 0 1 0 610 1 .25 .125 0 0 0 1 280 -105 -75-65-55 0 0 0 0 The optimal solution x₁ = ☐, ×₂ = ☐, ×3 = ☐, and x4 = ☐ produces the maximum value ☐. (Do not round until the final answer. Then round to the nearest integer as needed.)

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Execute phase 1 of the two-phase method to find an initial basic feasible solution for the following linear program. Maximize [-2 3-1-1] -2 -3 -1 2 s.t. Z>0 1-8 -H