Solve the following Linear Programming (LP) models using the simplex methodMax z = 5x1 +5x2 +24x3s.t.15x1 + 4x2 + 12x3 ≤ 280015x1 + 8x2≤6000+8x3 ≤ 1200X1X1, X2, X3 20

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Answered: Solve the following Linear Programming…

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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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
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Solve the following Linear Programming (LP) models using the simplex method Max z = 5x1 + 5x2 +24x3 s.t. 15x1 + 4x2 + 12x3 ≤ 2800 15x1 + 8x2 ≤6000 X1 +8x3 ≤ 1200 1, 2, 3 ≥0