5 Questions
What is the objective of linear programming?
To achieve the best outcome in a mathematical model with linear relationships
How is the feasible region in linear programming defined?
As a convex polytope, the intersection of finitely many half spaces
What type of function is the objective function in linear programming?
Real-valued affine (linear) function
How are linear programs expressed in standard form?
$\text{Find a vector } \mathbf{x} \text{ that maximizes } \mathbf{c}^{\mathsf{T}}\mathbf{x} \text{ subject to } A\mathbf{x} \leq \mathbf{b} \text{ and } \mathbf{x} \geq \mathbf{0}$
What does a linear programming algorithm aim to find?
A point in the polytope where the objective function has the largest (or smallest) value if such a point exists
Test your knowledge about the basics of linear programming, including linear objective functions, linear equality and inequality constraints, and optimization techniques for achieving the best outcome.
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