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Q: To solve a linear programming problem with thousands of variables and constraints?
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What is infeasibility in linear programming?

In linear programming, infeasibility refers to a situation where no feasible solution exists for a given set of constraints and objective function. This can occur when the constraints are contradictory or when the feasible region is empty. Infeasibility can be detected by solving the linear programming problem and finding that no solution satisfies all the constraints simultaneously. In such cases, the linear programming problem is said to be infeasible.


Can a linear programming problem have two optimal solutions?

No. However, a special subset of such problems: integer programming, can have two optimal solutions.


What is the feasible region of a linear programming problem?

After graphing the equations for the linear programming problem, the graph will have some intersecting lines forming some polygon. This polygon (triangle, rectangle, parallelogram, quadrilateral, etc) is the feasible region.


What are dependent and independent variables and how are they usually related to each other in a problem or situation?

a DEPENDENT variable is one of the two variables in a relationship.its value depends on the other variable witch is called the independent variable.the INDEPENDENT variable is one of the two variables in a relationship . its value determines the value of the other variable called the independent variable.


The answer to a multiplication problem is called a?

When two variables are multiplied, the result is called a product. When they are divided, it is a quotient. Addition results in a sum and subtraction results in a difference.