Algebra-1

Question Analysis
This question tests the student's ability to apply systems of inequalities to a real-world context. The student must understand how to interpret the constraints and identify a feasible production level.

Key Concept Explanation
The solution to a system of inequalities in a real-world context represents the feasible region where all constraints are satisfied. This region can be identified by graphing each inequality and finding the intersection of the shaded areas.

Step-by-step Solution
1. Graph the first inequality . The boundary line is solid because the inequality includes equality.
2. Graph the second inequality . The boundary line is solid because the inequality includes equality.
3. Identify the overlapping shaded area, which represents the feasible production levels.
4. Check the point (30, 70) to see if it lies within the solution region.
Substitute and into both inequalities:
For

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