Final Answer:
The correct graph illustrating the feasible solution area is (c) Graph C.
Step-by-step explanation:
In linear programming, the feasible solution area is determined by the intersection of the constraint inequalities. Graph C correctly represents the feasible region because it satisfies all the given constraints. The shaded region in Graph C corresponds to the overlapping areas where all constraints are simultaneously satisfied, meeting the criteria for a feasible solution in the optimization problem.
Understanding linear programming involves analyzing the constraints and identifying the region where they intersect. In this case, the feasible solution area is the common region where all constraints overlap. Graph C accurately portrays this intersection, demonstrating that any point within the shaded region satisfies all given constraints. This is crucial for optimization problems, where finding the feasible solution area aids in determining the optimal values for the variables.
In conclusion, Graph C is the correct representation of the feasible solution area for the given problem. The shading in this graph signifies the region where all constraints are met, providing a clear visual depiction of the feasible solution space. This understanding of linear programming and graphical representation is essential for solving optimization problems and determining the best course of action in various scenarios.