Question

If \( R_2 \) is the feasible region, then what are the other two non-trivial constraints?

Hint:

For alternative feasible regions, observe which inequalities reverse based on the region's boundaries and shading in the graph.

Answer 1

For \( R_2 \), the region includes \( x + 2y \geq 100 \), \( x \geq 0 \), and \( y \geq 0 \), but excludes the constraints forming the region \( R_1 \). Based on the graph, the constraints are derived as: - \( x + 2y \geq 100 \), - \( y - \frac{4}{3}x + \frac{80}{3} \leq 0 \). 
Final Answer: The constraints for \( R_2 \) are: \[ x + 2y \geq 100 \quad {and} \quad y - \frac{4}{3}x + \frac{80}{3} \leq 0. \]