JEE Main · MathematicsEasy
What is the objective function in a linear programming problem?
- A.A set of linear inequalities
- B.
- C.The set of all feasible solutions
- D.The constraints imposed on the variables
Show correct answer & step-by-step solution
Correct answer: B —
Solution
- A linear programming problem involves optimizing a specific value based on given constraints.
- The goal of the optimization is represented by a linear expression known as the objective function.
- This function is mathematically defined in the form .
- Hence the answer is (B).
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Mathematics topics you need to revise.
Attempt & Track Free →More Linear Programming practice questions
- Which of the following represents a constraint in a linear programming problem?
- If the feasible region of an LPP is unbounded, then the maximum value of the objective function:
- The corner points of the feasible region for an LPP are (0,0), (4,0), (2,4), and (0,2). What is the maximum value of Z =
- What is the feasible region in a linear programming problem?
- For the constraints x + y <= 5, x - y >= 0, x >= 0, y >= 0, what is the minimum value of Z = x + 2y?
- If the constraints are x + y <= 10, x >= 2, y >= 3, what is the maximum value of Z = 5x + 2y?
- The feasible region for a linear programming problem is defined by x >= 0, y >= 0, 2x + 3y <= 6, and x + 4y <= 4. What i
- A linear programming problem has constraints x + 2y <= 8 and 3x + 2y <= 12 with x, y >= 0. What is the maximum value of
- Find the maximum value of the objective function Z = 3x + 4y subject to the constraints x + y <= 4, x >= 0, and y >= 0.
- A linear programming problem has constraints x + y <= 1, 3x + y >= 3, x >= 0, y >= 0. What is the nature of the feasible
- Minimize Z = 3x + 5y subject to x + 3y >= 3, x + y >= 2, x, y >= 0.
- For the objective function Z = ax + by, where a, b > 0, the maximum value occurs at both (2, 3) and (4, 1). What is the