Linear programming in two variables

Learn two-variable linear programming through objective functions, resource constraints and graphical feasible regions. This precalculus practice set combines a labeled polygon with production and minimum-cost models, then examines infeasibility, unbounded regions, multiple optima and a feasible set that is only a line segment. Both question types emphasize reasoning as well as vertex calculations. Worked explanations verify feasibility before comparing objective values and explain why an unbounded region does not automatically mean every objective is unbounded. Continuous-variable assumptions are explicit where fractional production is allowed.