Use the simplex method to solve the linear programming problem.z = 5x₁ + 2x₂ + x32x₁ + 2x₂ + x3 54X₁ + 2x₂ + 3x3 S14x₁20, X₂20, X3 20.Maximizesubject toSelect the correct choice below and, if necessary, fill in the answer boxes to complete your choice.OA. The maximum iswhen x₁ =B. There is no maximum.and $2=

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Answered: Use the simplex method to solve 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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Use the simplex method to solve the following linear program: max 5x₁ + 4x2 + 3x3 2x₁ + 3x2 + x3 4x₁ + x₂ + 2x3 3x1 + 4x2 + 2x3 X1, X2, X3 ≥ 0 < 5 ≤ 11 <8
Use the simplex method to solve the linear programming problem. Maximize z=3x, +5x2 subject to: x, -4x2 5 55 4x, - 2x2 5 33 X, 20, x2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answers.) O A. The maximum is when x1 = and x2 = O B. There is no maximum.
Solve the linear programming problem. Maximize P = 4x + 4y Subject to 2x+ys 20 x + 2y ≤ 16 x, y 20
Solve the linear programming problem using the simplex method. Maximize P=9x₁ + 2x₂ - X3 subject to X₁ + X2 X3 ≤1 2x₁ +4x2 + 3x3 ≤3 X1, X2, Xз 20
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Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 5 labor-hours. In a certain week, the company has 2800 board feet of wood available and 500 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0
Use the simplex method to solve the linear programming problem. Maximize z=2x, + 3x2 subject to: 5x, +X2 5 30 3x, + 2x, 5 50 X, + X, 540 X4, X2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x, = (Simplify your answers.) and x2 = O B. There is no maximum.
Q3/ Solve by simplex method the following linear programming problem: (3 tables) Max Z = 3x₁ + 5x₂ + 4x3 Sub.to 2x₂ + 3x₂ ≤8 2x2 + 5x3 ≤ 10 3x + 2x2 + 4x3 ≤ 15 X1, X2, X3 20
Julie works no more than 40 hours per week during the school year. She is paid $16 an hour for mentoring students and $14 an hour for tutoring elementary students. She is paid $12 an hour as a personal grocery shopper. She wants to spend at least 10 hours but no more than 15 hours mentoring students. She also wants to spend 8 hours but no more than 12 hours as a personal grocery shopper. Find Julie’s maximum weekly earnings. (Linear Programming) m= # of hrs. spent mentoring t= # of hrs. spent tutoring p=# of hrs. spent personal grocery shopping Earnings=16m+14t+12p Total hours worked: m≥10 m≤15 t≥0 p≥8 p≤12 M+t+p≤40
Solve the linear programming problem. Minimize and maximize P 20x 10y 2х + Зу 2 30 Subject to 2х +у s 26 - 2x +7y 70 х, у 2 0
Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x2 subject to: x₁ + 4x₂ ≤ 12 2x₁ + 6x₂ ≤ 4 X₁ + 2x2 ≤ 4 with x₁ ≥ 0, x₂ ≥ 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when x₁ = x₂ = , S₁ = S2 = and S3 = B. There is no maximum solution to this linear programming problem.

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Use the simplex method to solve the linear programming problem. Maximize z = 5x₁ + 2x₂ + x3 subject to 2x, + 2x₂ + x3 ≤4 X₁ + 2x₂ + 3x3 ≤14 x₁20, X₂20, X3 20.