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The linear programming is used for optimization problems which satisfy the following conditions:
1. Objective function expressed as a linear function of variables.
2. Resources are unlimited.
3. The decision variables are inter-related and non-negative.
Which of these statements is/are correct?
  • a)
    1, 2 and 3
  • b)
    2 and 3 only
  • c)
    1 only
  • d)
    1 and 3 only
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The linear programming is used for optimization problems which satisfy...
Linear Programming Conditions for Optimization
1. Objective function as a linear function of variables: In linear programming, the objective function is to be maximized or minimized, and it must be expressed as a linear combination of decision variables. This means that the coefficients of the variables are constants and the variables appear in a linear form.
2. Resources are unlimited: Linear programming assumes that resources such as raw materials, labor, and budget are unlimited. This simplifies the optimization process as there are no constraints on the availability of resources.
3. Inter-related and non-negative decision variables: The decision variables in linear programming are inter-related, meaning that they are connected in a linear manner. Additionally, these variables must be non-negative, which means they cannot take on negative values in the optimization process.
Therefore, the correct statement is option 'D' - 1 and 3 only, as linear programming involves an objective function expressed linearly and non-negative inter-related decision variables, while assuming unlimited resources.
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The linear programming is used for optimization problems which satisfy the following conditions:1. Objective function expressed as a linear function of variables.2. Resources are unlimited.3. The decision variables are inter-related and non-negative.Which of these statements is/are correct?a)1, 2 and 3b)2 and 3 onlyc)1 onlyd)1 and 3 onlyCorrect answer is option 'D'. Can you explain this answer?
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