Final answer:
To find the feasible region, graph each inequality on a coordinate plane and find the overlapping region.
Step-by-step explanation:
To identify the feasible region for the set of constraints, we can start by graphing each inequality on a coordinate plane.
The first inequality, 0.5a + 0.25b ≥ 35, represents the region above the line 0.5a + 0.25b = 35. The second inequality, 1a + 5b ≥ 250, represents the region above the line 1a + 5b = 250. The third inequality, 0.25a + 0.5b ≤ 55, represents the region below the line 0.25a + 0.5b = 55.
The feasible region is the area where all three inequalities overlap. Shade that region on the graph, and any point within the shaded region satisfies all constraints. The feasible region in this case is a bounded region that lies above the line 0.5a + 0.25b = 35, above the line 1a + 5b = 250, and below the line 0.25a + 0.5b = 55.