5.7 - 5.9 Linear Programming

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

Tags

CCSS.HSA.REI.D.12

Which of the following inequalities matches the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Tags

CCSS.HSA.REI.D.12

In the graph, this is the intercept when the value of x = 0

• x - intercept

• y - intercept

• vertex

• first quadrant

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

Tags

CCSS.HSA.REI.D.12

It requires that each variables to be greater than or equal to zero

• maximization

• minimization

• inequality

• non-negativity constraints

Tags

CCSS.8.EE.C.8B

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)

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

• the answer

• the feasible region

• the void

• the objective function

Tags

CCSS.HSA.REI.D.12

In the graph, this is the intercept when the value of y = 0

• x - intercept

• y - intercept

• vertex

• first quadrant

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

• x + y ≤ 8
• x + y ≤ 6
• 2x + 3y ≤ 6
• x + y ≤ 10

It takes Sarah 2 hours to make small purses (x) and 3 hours to make big purses (y). She has a maximum of 18 hours a week. Which inequality represents this situation?

• 2x + 3y ≤ 18

• x + y ≤ 18

• x + y ≤ 9

• 3x + 2y ≤ 18