Question: If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding UP the linear programming optimal solution values of the decision variables will ________ result in a feasible solution to the integer linear programming problem.

Hint: Solve a small size problem, such as below, and simulate the given scenario. Max 2.4x + 5.2y Subject to 1.4x + 3.6y <= 8 2.1 x - 3y <= 21 x, y > 0

A) sometimes B) always C) never D) optimally

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