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4.1. Consider the following linear programming problem. maximize z = 4x1 + 3x2 subject to 2x, + x2 S 20 X + x2 s 12 X1, X2 20 (a) Solve this problem graphically. (b) Solve this problem by the algebraic simplex method described in Example 4.1, and at each iteration, identify the corresponding extreme-point solution on the graph. (c) Identify the basic variables, the nonbasic variables, and the basis matrix B at each iteration.

4.1. Consider the following linear programming problem. maximize z = 4x1 + 3x2 subject to 2x, + x2 S 20 X + x2 s 12 X1, X2 20 (a) Solve this problem graphically. (b) Solve this problem by the algebraic simplex method described in Example 4.1, and at each iteration, identify the corresponding extreme-point solution on the graph. (c) Identify the basic variables, the nonbasic variables, and the basis matrix B at each iteration.

Advanced Engineering Mathematics
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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EXERCISES Consider the following linear programming problem. maximize z = 4x1 + 3x2 subject to -X + x2 s 6 2x, + x2 s 20 X + x2 s 12 X1, x2 2 0 (a) Solve this problem graphically. (b) Solve this problem by the algebraic simplex method described in Example 4.1, and at each iteration, identify the corresponding extreme-point solution on the graph. (c) Identify the basic variables, the nonbasic variables, and the basis matrix B at each iteration.
Transcribed Image Text:EXERCISES Consider the following linear programming problem. maximize z = 4x1 + 3x2 subject to -X + x2 s 6 2x, + x2 s 20 X + x2 s 12 X1, x2 2 0 (a) Solve this problem graphically. (b) Solve this problem by the algebraic simplex method described in Example 4.1, and at each iteration, identify the corresponding extreme-point solution on the graph. (c) Identify the basic variables, the nonbasic variables, and the basis matrix B at each iteration.
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