Linear Programming Basics

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Questions and Answers

What is the objective of linear programming?

To achieve the best outcome in a mathematical model with linear relationships (correct)
To optimize a non-linear objective function
To find the intersection of finitely many half spaces
To solve non-linear equations

How is the feasible region in linear programming defined?

As a convex polytope, the intersection of finitely many half spaces (correct)
As the solution set to non-linear equations
As the entire space of possible solutions
As a non-convex polygon

What type of function is the objective function in linear programming?

Trigonometric function
Exponential function
Quadratic function
Real-valued affine (linear) function (correct)

How are linear programs expressed in standard form?

<p>$\text{Find a vector } \mathbf{x} \text{ that maximizes } \mathbf{c}^{\mathsf{T}}\mathbf{x} \text{ subject to } A\mathbf{x} \leq \mathbf{b} \text{ and } \mathbf{x} \geq \mathbf{0}$ (B)</p> Signup and view all the answers

What does a linear programming algorithm aim to find?

<p>A point in the polytope where the objective function has the largest (or smallest) value if such a point exists (C)</p> Signup and view all the answers