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A basic solution, in the context of linear programming, refers to a feasible solution where the number of non-zero variables is equal to the number of constraints, and all constraints are satisfied. This solution is typically found at the vertices of the feasible region defined by the constraints. In simpler terms, a basic solution represents a corner point of the solution space where certain variables are set to zero while others take on positive values.

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What is basic and non basic variables?

In the context of linear programming, basic variables are those that correspond to the basic feasible solution of a linear system, typically representing the variables that are set to non-zero values in the solution. Non-basic variables, on the other hand, are set to zero in that solution, representing the dimensions of the solution space that are not active at that point. The distinction is crucial for methods like the Simplex algorithm, where the objective is to pivot between basic and non-basic variables to find the optimal solution.


What is the difference between feasible solution and basic feasible solution?

optimal solution is the possible solution that we able to do something and feasible solution is the solution in which we can achieve best way of the solution


State the difference between a feasible solution basic feasible solution and an optimal solution of a lpp?

the optimal solution is best of feasible solution.this is as simple as it seems


If a solution is basic it has how many ions?

A basic solution contains an excess of hydroxide ions (OH⁻). When dissolved in water, a base typically produces hydroxide ions, leading to a higher pH. The concentration of hydroxide ions determines the strength of the basicity. Therefore, a basic solution has a higher concentration of OH⁻ ions compared to hydrogen ions (H⁺).


What is a basic variable in simplex tableau?

In a simplex tableau, a basic variable is one of the variables that is included in the current solution and has a positive value, typically representing a constraint in a linear programming problem. These variables correspond to the columns in the tableau that have a leading 1 (the pivot column) and are used to determine the basic feasible solution. Non-basic variables, on the other hand, are set to zero in the current solution. The simplex method iteratively adjusts these variables to optimize the objective function.

Related Questions

What defines a basic solution?

A solution with a pH greater than 7


Which choice defines AC and DC correctly?

Choice of electricity defines ac and dc


What solution best defines an acidic solution?

less than 7


Which correctly defines primary source and secondary sourec correctly?

A historical document written by an eyewitness .... APEX


What defines an acidic solution?

less than 7


What does the constiution do?

sets up the government ,defines the government, defines the government, protects basic rights of Amercicans ,


Is an aqueous solution of calcium hydroxide acidic or basic?

This solution is basic.


Is saltwater a basic solution And if not what are some examples of basic solutions?

baking soda, ammonia, and saltwater are three examples of basic solution's, although we are slowly making the sea acidic =[


Is saline solution a basic?

No, saline solution is not a basic solution. It is a neutral solution composed of a mixture of sodium chloride (salt) and water.


Does pOH 7.0 indicate a basic solution?

A pOH of 7.0 indicates a neutral solution, not a basic solution. In a basic solution, the pOH would be less than 7.0.


What is the color change of phenolphthalein in a basic solution?

Phenolphthalein turns pink in a basic solution.


As an acidic solution is added to a basic solution the pH of the basic solution decreases?

Yes, as an acidic solution is added to a basic solution, the pH of the basic solution will decrease because the acidic solution introduces more H+ ions, thereby shifting the pH of the combined solution towards a more acidic value.