Answer:
Region A is the region represents the graph of the feasible region
for the given constraints
Explanation:
* Lets look to the graph to answer the question
# y ≥ 2x represented by the orange line
∵ The sign of inequality is greater than, then the shaded part will
be over the line
∴ The solution is in A region
# x + y ≤ 14 represented by the purple line
∵ The sign of inequality is smaller than, then the shaded part will
be under the line
∴ The solution is in A or B or C regions
# y ≥ 1 represented by the pink line
∵ The sign of inequality is greater than, then the shaded part will
be over the line
∴ The solution is in A or B or C regions
# 5x + y ≥ 14 represented by the blue line
∵ The sign of inequality is greater than, then the shaded part will
be over the line
∴ The solution is in A or B or C regions
# x + y ≥ 9 represented by the green line
∵ The sign of inequality is greater than, then the shaded part will
be over the line
∴ The solution is in A or B regions
* From all above The common region in the five inequalities is A
∴ Region A is the region represents the graph of the feasible region
for the given constraints