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To find the feasible region in a linear programming problem, first, define the constraints as inequalities based on the problem's requirements. Next, graph these inequalities on a coordinate plane, identifying where they intersect. The feasible region is the area that satisfies all constraints, typically bounded by the intersection points of the lines representing the constraints. This region can be either finite or infinite, depending on the nature of the constraints.

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Related Questions

What is the definition of unbounded region?

definition feasible region definition feasible region


What is the maximum value of 3x plus 3y in the feasible region?

It would depend on the feasible region.


Why a feasible region is the unshaded region?

i know that a feasible region, is the region which satisfies all the constraints but i don't know exactly why is the unshaded region regarded as a feasible region instead of the shaded region.


What is the maximum value of 5x 2y in the feasible region?

To find the maximum value of the expression (5x + 2y) in a feasible region, you would typically use methods such as linear programming, considering constraints that define the feasible region. By evaluating the vertices of the feasible region, you can determine the maximum value. Without specific constraints provided, it's impossible to give a numerical answer. Please provide the constraints for a detailed solution.


What are examples of feasible region?

the feasible region is where two or more inequalities are shaded in the same place


What is the maximum value of 2x 5y in the feasible region?

To find the maximum value of 2x + 5y within the feasible region, you would need to evaluate the objective function at each corner point of the feasible region. The corner points are the vertices of the feasible region where the constraints intersect. Calculate the value of 2x + 5y at each corner point and identify the point where it is maximized. This point will give you the maximum value of 2x + 5y within the feasible region.


Will points in a feasible region be a solution to the real-world problem it represents?

Yes they will. That is how the feasible region is defined.


What is the minimum value of 6x plus 5y in the feasible region?

Since there is no feasible region defined, there is no answer possible.


What is the minimum value of 6x 8y in the feasible region?

The answer depends on what the feasible region is and on what operator is between 6x and 8y.


Where will the maximum value of a feasible region?

The maximum value of a feasible region, typically in the context of linear programming, occurs at one of the vertices or corner points of the region. This is due to the properties of linear functions, which achieve their extrema at these points rather than within the interior of the feasible region. To find the maximum value, you evaluate the objective function at each vertex and select the highest result.


What is optimal feasible solution?

It is usually the answer in linear programming. The objective of linear programming is to find the optimum solution (maximum or minimum) of an objective function under a number of linear constraints. The constraints should generate a feasible region: a region in which all the constraints are satisfied. The optimal feasible solution is a solution that lies in this region and also optimises the obective function.


What is the maximum value of 2x 2y in the feasible region?

To find the maximum value of (2x + 2y) in the feasible region, you typically need to identify the constraints that define this region, often in the form of inequalities. Then, you would evaluate the objective function at the vertices of the feasible region, which are the points of intersection of the constraints. The maximum value will be found at one of these vertices. If you provide the specific constraints, I can help you calculate the maximum value.