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1. Describe the relationship between extreme points, basic solutions, and basic feasible solutions in linear programs.

1. Describe the relationship between extreme points, basic solutions, and basic feasible solutions in linear programs.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Describe the relationship between extreme points, basic solutions, and basic feasible solutions in linear programs. 2. What is the economic meaning of shadow prices in linear programming? 3. If a standard form linear program has four variables and three constraints, how many basic solutions does it have? 4. In a two-player zero-sum game, the optimal value of player 1 is \( v_1 \), and the optimal value of player 2 is \( v_2 \). What is the relationship between these two values?
Transcribed Image Text:1. Describe the relationship between extreme points, basic solutions, and basic feasible solutions in linear programs. 2. What is the economic meaning of shadow prices in linear programming? 3. If a standard form linear program has four variables and three constraints, how many basic solutions does it have? 4. In a two-player zero-sum game, the optimal value of player 1 is \( v_1 \), and the optimal value of player 2 is \( v_2 \). What is the relationship between these two values?
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