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Mathematics · JEE | LINEAR PROGRAMMING

हिन्दी

What is the term used for the linear function \( Z = ax + by \) which is to be maximized or minimized in a linear programming problem?

  1. A
    Constraint function
  2. B
    Feasible solution
  3. C
    Decision variable
  4. D
    Objective function
View Answer & Solution

Correct answer · Option D

Objective function

Explanation

The linear function \( Z = ax + by \) to be optimized is called the objective function.

Related questions

Given below are two statements: Statement I: The feasible region of a linear programming problem is always a convex region. Statement II: The optimal value of the objective function always occurs at the origin of the coordinate system.→Match List-I with List-II: List-I List-II A Optimal solution I Point outside the feasible region B Infeasible solution II Point giving the optimal value C Bounded region III Region that can be enclosed in a circle D Corner point IV Intersection of two boundary lines Choose the correct answer from the options given below:→Consider the following statements regarding Linear Programming: (A) The objective function in an LPP is always a non-linear expression. (B) The feasible region is the set of all feasible solutions. (C) Optimal values of the objective function always occur at the corner points of the bounded feasible region. (D) A feasible region is unbounded if it cannot be enclosed within a circle. Which of the above statements are correct?→Match List-I with List-II: List-I List-II A Objective function I \( x \ge 0, y \ge 0 \) B Constraints II \( Z = ax + by \) C Non-negative restrictions III Region determined by all constraints D Feasible region IV Linear inequalities restricting variables Choose the correct answer from the options given below:→
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