Question

given the system of constraints:
y ≥ 2x \t\t x + y ≤ 14 \t\t y ≥ 1
5x + y ≥ 14 \t x + y ≥ 9
which region represents the graph of the feasible region for the given constraints?
○ a
○ b
○ c

Explanation:

Step1: Analyze $y \geq 2x$

This is the region above the orange line $y=2x$.

Step2: Analyze $x+y \leq 14$

This is the region below the purple line $x+y=14$.

Step3: Analyze $y \geq 1$

This is the region above the red line $y=1$.

Step4: Analyze $5x+y \geq 14$

This is the region above the blue line $5x+y=14$.

Step5: Analyze $x+y \geq 9$

This is the region above the green line $x+y=9$.

Step6: Identify overlapping region

The intersection of all these regions is region B.

Answer:

B. Region B