Linear Inequalities

Concept:Formulate the constraints from the given man-hours and weekly capacity.Explanation:For foundry: Gadget A requires 10 hours/unit, B requires 6 hours/unit. Total hours = $10x + 6y$. This cannot exceed 1000 hours, so $10x + 6y \leq 1000$.For machine shop: A requires 5 hours/unit, B requires 4 hours/unit. Total hours = $5x + 4y$. This cannot exceed 600 hours, so $5x + 4y \leq 600$.Non-negativity: $x \geq 0$, $y \geq 0$.Answer:Option A is correct.