MultipleForce Completion This test can be saved and resumed later.Your answers are saved automatically.Question Completion Status:A Moving to another question will save this response.Question 3Use the simplex method to solve the linear programming problem:Maximize z = 6x1 + x2 + 4x3 + x4, subject tox1 + 3x2 + x3 + 2x4 ≤ 112x1 + x2 + 5x3 + x4 ≤ 55with x1 ≥ 0, x2 ≥0, x3 ≥0, x4 20✓ The maximum is✓ at x1 =✓ at x2 =✓ at x3 =✓at x4 =✓ with $1 =✓ with s2 =A Moving to another question will save this response.A. 55B. 4C. 57D. 340E. 330F. 310G.0

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Answered: Multiple Force Completion This test can…

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
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 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 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
A company produces three types of solar panels, types A, B and C at a profit of €50 ,€90 and €150 respectively. If X, is the number of type A generators, X, is the number of type B generators and X3 is the number of type C generators sold by the company then from the data in the simplex table below, determine the value of the maximum profit Z. X, X2 X3 S, S2 S3 X3 1 0.1 0.7 0.4 80 X, 1 0.8 0.4 0.3 60 X2 1 0.2 -0.6 0.8 40 P 5.1 3.9 7.6 Answer:
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
Write the transportation problem as a linear programming problem in terms and solvent of x and y and solve. (Indicate the number of units that should be transported from each factory to each depot and the total transportation cost.)
Write the simplex tableau for the linear programming problem.You do not need to solve the problem. Objective function max z = x1 + 2x2 + 3x3 Constraints: 2 4 2x, + x2 + 3x3 2 6 + 2x3 < 8 xị + x2 X1 X1, X2, X3 20
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
For an optimization problem below, state and explain which of the four assumptions of linear programming is/are not satisfied. max 5x12 s.t. 3r+2r2 ≤ 10 1 + 2x₂-12 23 ₁=nonnegative integer, -35 2₂ 55
Solve the linear programming problem using the simplex method. Maximize subject to P= 3x₁ + 2x₂ - X3 X₁ + X₂-X3 ≤5 2x₁ +4x2 + 3x3 ≤ 15 X1, X2, X3 20 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. O A. The maximum value of Pis when X₁ = x₂ = and X3 = (Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.) OB. There is no optimal solution.
Use the graphical method to determine a solution for this linear programming problem
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

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