4.1-7. Describe graphically what the simplex method does step bystep to solve the following problem.MinimizeZ = 5x₁ + 7x2,subject to2x₁ + 3x₂ = 423x₁ + 4x₂ ≥ 60x₁ + x₂ = 18andx₁ ≥ 0.X₂ ≥0. i svloz 01about lineer pro-(e4.SUBTSTDS

Step-1One has to write the equality form of the given constraints and draw them.Step-2Calculating…

Answered: 4.1-7. Describe graphically what 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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(b) To find the number of shoes, a company should manufacture per day to optimally use their machine and assembly line. One needs to solve the following set of equations. The unknowns are the number for men, X1, women, x2, teenagers, x3, and infants, x4. 10x1 – x2 + 2x3 = 6 —х1 + 11х — хз+ 3x, 3D 25 2x1 – x2 + 10xX3 – X4 = -11 Зx2 — хз + 8хд 3D 15 Find approximate solutions to x1, x2, X3, and x4. Starting with x = (0, 0, 0, 0)" and iterating until ||x(*) – x*-)|. < 10-3 ||x(k) || .
find value of L and K to maximie the product function Q = 8L1/4K3/4 subject to the constraint L + 8K = 1000
Find the optimal solution by simplex method 3 X, - 150x, + 1 Max Z X; - 6X4 50 s/t 25x, - 600x, – 4x, + 900x, s 0 25x, - 4500x, - Xz + 150x4 3 0 Xz 3 1 uhere x;¿ O
Derive and use 4 step-rule Show your solution in two questions: ( x+5 2 2 r¯ + 2 3 y= 3Vx+1 g(x) = and
Please show steps neatly for each problem. Thanks!
maximize 2x₁ + x₂ - 3 subject to 4x₁ + x₂ + 3x3 ≤ 1, -2x2 + x3 ≤ ₁, 4x2 + 2x3 = -7, ₁ ₂ ≤ 0, unrestricted, T3 20
I put an example of how they want it to be solved from the program.
Q3 A- Find all solutions to this equation (Plot to get rough estimates) N^6 N^3=2 B- Find all solutions for the following system of equations (Hint: Plot) SQRT(x) - SQRT(y) = 17 x- y = 85 C- Find a solution to the following set of equations (using any method you like) -3.0X1 -1.1X2 -2.0X3 -1.8X4 = 1.0 3.2x1 + 2.1X2 +3.2X3 +5.2X4 = 2.0 3.4X1 +2.4X2 -4.2X3 +3.2X4 = 8.0 2.6X1 +2.1X2 -3X3 +3.4X4 = -5.0 How sensitive is the solution to the value in the right hand side of first equation (if it changes from 1 to 1.1, or to 0.9 how does the solution changes)

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4.1-7. Describe graphically what the simplex step to solve the following problem. Minimize Z = 5x₁ + 7x2, subject to 2x₁ + 3x₂ = 42 3x₁ + 4x₂ ≥ 60 > 18