Question

Given the system of contstraints: y ≥ 2x x + y ≤ 14 y ≥ 1 5x + y ≥ 14 x + y ≥ 9 Which region represents the graph of the feasible region for the given constraints?

Answer 1

Answer:

Region A is the region represents the graph of the feasible region

for the given constraints

Step-by-step 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