Q74 / 180 · KCET 2025 · Mathematics

Consider the following statements: Statement (I): In a LPP, the objective function is always linear. Statement (II): In a LPP, the linear inequalities on variables are called constraints. Which of the following is correct?

  • Correct answer
    A
    Statement (I) is true, Statement (II) is true
  • B
    Statement (I) is true, Statement (II) is false
  • C
    Both Statements (I) and (II) are false
  • D
    Statement (I) is false, Statement (II) is true

Solution

Both Statement (I) and Statement (II) are true in a Linear Programming Problem (LPP): Statement (1): The objective function in an LPP is always linear, meaning it can be expressed as a linear equation with the variables raised to the power of one. Statement (II): The linear inequalities that restrict the variables in an LPP are called constraints. Explanation: In a linear programming problem, you are trying to optimize (maximize or minimize) an objective function (a linear equation) while adhering to certain constraints (linear inequalities) that limit the possible values of the variables.

Hence, the correct answer is option: 'A'.

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