The objective function value for the ILP problem can never _______.a. be as good as the optimal solution to its LP relaxation. b. be as poor as the optimal solution to its LP relaxation. c. be worse than the optimal solution to its LP relaxation. d. be better than the optimal solution to its LP relaxation.

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Answer:

The answer is "Option d".

Explanation:

The objective function is a part of a mathematical optimiser problem, It is minimises the value of the actual function over all possible alternatives, but it uses the optimal solution, because it is an excellent method, which is workable solution when the objective value, and wrong option can be described as follows:

  • In option a, As compare to objective function is it better then optimal, that's why it is wrong.
  • Option b and option c both were wrong wrong because it provides feasible method, that provides maximum solution, and it is least in cost.

It should be noted that the objective function value for the ILP problem can never D. be better than the optimal solution to its LP relaxation.

The objective function in linear programming is the function that is used for maximization and minimization.

The objective function is the real-valued function whose value can be minimized or maximized over the set of feasible alternatives. Based on the options given, the objective function value for the ILP problem can never be better than the optimal solution to its LP relaxation.

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