Linear Programming Practice

What do you call the area where all the shading overlaps?

• the answer

• the feasible region

• the void

• the objective function

Which are vertices of the feasible region?

• (0, 3) (3, 0) (5, 8)

• (0, 6) (3, 5) (6, 5)

• (3, 3) (8, 5) (5, 8)

• (0, 5) (6, 0) (3, 3)

Which are the vertices of the feasible region?

• (0, 0), (0, 6), (6, 2), (8, 0)
• (0, 0), (6, 0), (2, 6), (0, 8)

Which of the graphs shows the correct feasible region for this system of inequalities?

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What is the equation of the line?

• y = 0
• y = 1
• y = 2
• x = 1

What is the equation of this line?

• x=5
• y=5
• y=5x
• x=-5

Which of the following inequalities matches the given graph?

• y ≤ -3/4 x + 3
• y ≥ -3/4 x + 3
• y < -3/4 x + 3
• y > -3/4 x + 3

• (2, 0), (4, 5), (6, 0)

• (2, 0), (3, 5), (0, 6)

• (0, 2), (3.5, 4.5), (6, 2)

• (0, 0), (3, 5), (6, 0)

Solve the system of inequalities. The feasible region is shown by the darkest blue shading.

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Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 4