
If the constraints in linear programming problem are changed
(A). The problem is to be re-evaluated
(B). Solution is not defined
(C). The objective function has to be modified
(D). The change in constraints is ignored
Answer
484.8k+ views
Hint: Before attempting this question, one should have prior knowledge about linear programming and also remember that constraints are the restrictions under which we have to maximize or minimize the function, using this information can help you to approach the solution of the question.
Complete step-by-step answer:
According to the given information it is given that constraints of the linear programming are changed and we know that the linear programing function is given as for example $Z = 3x + 4y$ where we have to show that the given function is maximize or minimize under the situation $x + y \geqslant 4,x \geqslant 0,y \geqslant 0$.
The function $Z = 3x + 4y$ is an objective function where as $x + y \geqslant 4,x \geqslant 0,y \geqslant 0$ are the constraints which are the conditions or restrictions under which we have to show that function $Z = 3x + 4y$is maximize or minimize.
So, when we change the constraints for the given functions then we have to re-evaluated maximize or minimize function for the given function
Therefore, the problem is to be re-evaluated
Hence, option A is the correct option.
Note: In the above solution we came across the term “linear programing” which can be explained as the method which is utilized to identify the best outcome of any function. Since the outcome of any function can be differ for different situations such as the outcome can be maximum or minimum depending upon the situation provided for such cases the method of linear programming is used.
Complete step-by-step answer:
According to the given information it is given that constraints of the linear programming are changed and we know that the linear programing function is given as for example $Z = 3x + 4y$ where we have to show that the given function is maximize or minimize under the situation $x + y \geqslant 4,x \geqslant 0,y \geqslant 0$.
The function $Z = 3x + 4y$ is an objective function where as $x + y \geqslant 4,x \geqslant 0,y \geqslant 0$ are the constraints which are the conditions or restrictions under which we have to show that function $Z = 3x + 4y$is maximize or minimize.
So, when we change the constraints for the given functions then we have to re-evaluated maximize or minimize function for the given function
Therefore, the problem is to be re-evaluated
Hence, option A is the correct option.
Note: In the above solution we came across the term “linear programing” which can be explained as the method which is utilized to identify the best outcome of any function. Since the outcome of any function can be differ for different situations such as the outcome can be maximum or minimum depending upon the situation provided for such cases the method of linear programming is used.
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