If a Maximization Linear Programming Problem Consists of All Less-Than-Or-Equal-To

question 12

Multiple Choice

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 down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem.

• A) always, optimal
• B) always, non-optimal
• C) never, non-optimal
• D) sometimes, optimal

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Definitions:

Infiltration

The process by which water on the ground surface enters the soil, often influencing groundwater recharge and soil moisture.

Diagram

A diagram is a simplified drawing or plan that represents ideas, concepts, structures, or systems visually, often used for explanation or troubleshooting.

Aquifer

A subsurface layer of permeable rock, rock fractures, or loose materials like gravel, sand, or silt, capable of holding water from which groundwater can be drawn.

Surface Runoff

Water flow that occurs when soil is saturated or impermeable and excess water from rain, meltwater, or other sources flows over the land.