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In linear programming problems the function whose maxima or minima are to be found is called
  • a)
    Delta function
  • b)
    Selection function
  • c)
    Subjective function
  • d)
    Objective function
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In linear programming problems the function whose maxima or minima are...
In linear programming problems the function whose maxima or minima are to be found is called Objective function .
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In linear programming problems the function whose maxima or minima are...
Objective function:
The objective function in linear programming problems is a mathematical representation of the quantity that needs to be maximized or minimized. It is denoted by \( f(x_1, x_2, ..., x_n) \), where \( x_1, x_2, ..., x_n \) are the decision variables. The goal is to optimize this function while satisfying certain constraints.

Role in linear programming:
- The objective function plays a crucial role in linear programming as it defines the goal of the optimization problem.
- It serves as a measure of performance or effectiveness that needs to be optimized.
- The objective function can be in the form of maximizing profits, minimizing costs, maximizing efficiency, etc.

Maximization or minimization:
- In linear programming, the objective function can either be maximized or minimized based on the requirements of the problem.
- The decision variables are adjusted to achieve the optimal value of the objective function.

Constraints:
- The objective function is subject to certain constraints represented by linear equations or inequalities.
- These constraints limit the feasible solutions that can be obtained for the objective function.

Optimal solution:
- The objective function helps in finding the optimal solution that maximizes or minimizes the function within the given constraints.
- The solution obtained through linear programming provides the best possible outcome for the objective function.
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