Use the simplex method to solve the linear programming problem.z = 6x₁ - 5x₂ + 4x32x₁Maximizesubject toX₂+ 8x3 5464x₁5x₂+ 6x3 ≤64-2x₁2x₂ + 6x3 ≤22x₁20, X₂20, X3 20.Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.OA. The maximum iswhen x₁ = x₂ = x3 =$₁=₁ S₂ =, and $3 =B. There is no maximum.

Given linear programming problem is , Maximize z=6x1-5x2+4x3 Subject to 2x1-x2+8x3≤46…

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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State the value of each variable and whether the variable is basic or not, using the provide final simplex tableau.
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.
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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 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=
Manufacturing Easyboy manufactures two types ofchairs: Standard and Deluxe. Each Standard chairrequires 4 hours to construct and finish, and eachDeluxe chair requires 6 hours to construct andfinish. Upholstering takes 2 hours for a Standardchair and 6 hours for a Deluxe chair. There are480 hours available each day for construction andfinishing, and there are 300 hours available per dayfor upholstering.a. Write the inequalities that describe the application.b. Graph the solution of the system of inequalities,and identify the corners of the region.
find: a. The optimal solution for PLE. b. Find the whole solution, rounded. c. How much profit could a company lose if it implemented the rounded solution? Your answer must be accompanied by your calculation memory in pdf file, it will not be valid without this support. Maximize 6X1 + 2X2 + ХЗ r.a: 4X1 + 2X2 + 7X3 > 54 3X1 + 9X2 + 8X3 0 and integers

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