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What is the role of 'linear programming' in modern mathematics?
What is the role of 'linear programming' in modern mathematics?
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What is the role of 'linear programming' in modern mathematics?
To solve equations with multiple variables.
To optimize a linear objective function subject to linear equality and inequality constraints.
To analyze statistical data.
To calculate geometric properties.
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Linear programming is used to find the best outcome in a mathematical model whose requirements are represented by linear relationships.
Questions & Step-by-step Solutions
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Q
Q: What is the role of 'linear programming' in modern mathematics?
Solution:
Linear programming is used to find the best outcome in a mathematical model whose requirements are represented by linear relationships.
Steps: 5
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Step 1: Understand that linear programming is a method used in mathematics.
Step 2: Recognize that it helps solve problems where you want to maximize or minimize something, like profit or cost.
Step 3: Know that the problems have certain restrictions or requirements, which are represented by linear equations.
Step 4: Realize that linear programming finds the best solution by analyzing these linear relationships.
Step 5: See that it is widely used in various fields like economics, engineering, and logistics to make efficient decisions.
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