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Linear Programming

Authored by Lauren Pichette

Mathematics

9th - 12th Grade

CCSS covered

Used 1K+ times

Linear Programming
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10 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

2x + 3y ≤ 18
x + y ≤ 6
x + y ≤ 9
3x + 2y ≤ 18

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?

P = 30x + 50y
P = 50x + 30y

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Objective quantity:
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?

300
280
400
240

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the following inequalities matches the given graph?

x ≥ -1
x ≤ -1
x > -1
x < -1

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

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)

Tags

CCSS.HSA.REI.D.12

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