# Difference between feasible solution and basic feasible solution. Basic feasible solution 2022-11-16

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Feasible solutions and basic feasible solutions are two important concepts in linear programming, which is a mathematical method used to optimize the allocation of limited resources in order to achieve a specific objective. While both types of solutions involve finding the optimal values for the variables in a given linear programming problem, they differ in the constraints that they satisfy.

A feasible solution is any set of values for the variables in a linear programming problem that satisfies all of the constraints of the problem. In other words, it is a solution that is possible to achieve given the constraints of the problem. Feasible solutions may not necessarily be optimal, as they may not yield the highest or lowest possible value for the objective function.

On the other hand, a basic feasible solution is a special type of feasible solution in which a subset of the variables in the problem are set to zero, while the remaining variables are set to non-zero values. These non-zero variables are known as basic variables, and the subset of constraints that they satisfy are known as the basic feasible solutions.

Basic feasible solutions have a number of important properties that make them useful in linear programming. One of the most important properties of basic feasible solutions is that they form a basis for the feasible region of the problem, which is the set of all possible feasible solutions. This means that any feasible solution can be represented as a linear combination of basic feasible solutions.

In addition, basic feasible solutions are often easier to find than other feasible solutions, as they involve setting only a subset of the variables to non-zero values. This can make it faster and more efficient to solve linear programming problems using basic feasible solutions.

In summary, feasible solutions are any set of values for the variables in a linear programming problem that satisfies all of the constraints, while basic feasible solutions are a special type of feasible solution in which a subset of the variables are set to zero and the remaining variables are set to non-zero values. Both types of solutions are important in linear programming, but basic feasible solutions have additional properties that make them particularly useful in finding optimal solutions to linear programming problems.

## difference between initial basic feasible solution and optimal solution

In basic feasible solution, the basic variables are slack variables. A globally optimal solution is one where there are no other feasible solutions with better objective function values. Megiddo's algorithms can be executed using a tableau, just like the simplex algorithm. Hence, no further improvement in the solution is possible. An infeasible problem is a problem that has no solution while an unbounded problem is one where the constraints do not restrict the objective function and the optimal objective goes to infinity.

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## Difference between a feasible solution a basic feasible... Free Essays

Infeasible solution means there is no solution value that will satisfy all the constraints simultaneously. Answer: Basic solution - Solution of a problem which satisfy all the condition. AnsThe solubility of solid in a liquid solvent generally increases with increase in temperature of the solvent. If there is more than one optimal solution, then there are uncountably many optimal solutions. Is there a feasible solution and an infeasible solution? Which is the best combination for solving a transportation problem? Which is the best definition of a feasible solution? Table of Contents Too Much Pressure? Examples: 32 points give a 4. What is optimal basic feasible solution? An infeasible solution is outside the feasible region.

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## What is an infeasible solution?

By optimum point or points , I mean the point on the curve in which the increase of the value in X axis by 1 point, does not yield neither a very high nor a very low increase in the value of Y e. We say that a linear programming problem is degenerate if it contains degenerate vertices or basic feasible solutions. No further increase in profit is possible. If there are several optimal solutions, then there exist at least two basic feasible solutions that are optimal. For example, in an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a decision variable. Bill tells Jocelyn that the minimum cost method, sometimes called the minimum cell cost method or least cost method, is used when the priority is to reduce costs for distribution of materials. Apr 2005 Basic feasible solution means the 1 st simplex table.

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## Distinguish between Basic feasible solution and Optimal solution in LPP

A globally optimal solution is one where there are no other feasible solutions with better objective function values. Click to see full answer. One of the more recent events Premium Drinking water Water supply network Water purification Solution Solution: i. S1 Back Savers Production Problem Back Savers is a company that produces backpacks primarily for students. Identify three objects that might belong to each of the following classes: a. What is basic solution and feasible solution? In the presence of an optimum solution, there exists a basic feasible solution that is also an optimum solution.

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## Difference between feasible solution and optimal solution

Absorption costing prorates the fixed overheads between units in inventory and units sold based on machine hours. What is slack variable in optimization? A globally optimal solution is one where there are no other feasible solutions with better objective function values. He got the data from last 1600 surgeries held in a local hospital and applied an analysis. Convex optimization involves minimizing a convex objective function or maximizing a concave objective function over a convex set of constraints. How is the feasible region of the optimization problem defined? In most of the optimization algorithms first, an attempt is made to find the feasible solution and then another attempt is made to locate another feasible solution which will improve the objective function value. . Course Objective: To provide basic concepts of research methods that can help managers in business decision making process.

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## What is the difference between a feasible solution a... Free Essays

If a linear program has an optimal solution i. If the original solution is not unique, an. Some examples might be: a. Linear programming is a special case of convex optimization where the objective function is linear and the constraints consist of linear equalities and inequalities. Our water system has been in place for 20 plus years and neglect has been rampant for almost the same period of time. A graphical solution method can be used to solve a linear program with two variables. What is meant by feasible solution? This chapter provides such a variety.

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## What Is Difference Between Feasible And Optimal Solution?

Whether the events that were mentioned above are the social ramifications of Media or Family is not the immediate concern. A decision variable is a quantity that the decision-maker controls. What is optimal basic feasible solution? Students have to study every day in order to get good grades into an acceptable college to be successful in life. There are 20 units of wood available. An optimal solution is a feasible solution that results in the largest possible objective function value when maximizing or smallest when minimizing. An infeasible solution is a solution for which at least one constraint is violated. Discrete Variable: A decision variable that can only take integer values.

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## Basic feasible solution

Calculate the past growth rate in earnings. The artificial variable has a positive value which indicates there is no feasible solution. An optimal solution is a feasible solution where the objective function reaches its maximum or minimum value — for example, the most profit or the least cost. Advertisements What feasible solution satisfies? Which method gives feasible solution near to the optimal solution? What is the difference between integer programming and linear programming? A feasible solution is one that satisfies all linear and non-linear constraints. Calculate the next expected dividend. All optimal solutions are basic if and only if there is exactly one optimal solution. Basically in linear programming more importance is about basic feasible solution rather than basic solution.

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