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Linear Programming

Authored by Marilyn Munford

Mathematics

11th Grade

CCSS covered

Used 5+ times

Linear Programming
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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 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 > 8

2x + 3y ≤ 6

x + y ≤ 10

2.

MULTIPLE CHOICE QUESTION

2 mins • 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

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.  

x+y≤300
7.5x+5.5y≥2000
x+y<300
7.5x+5.5y≥2000
x+y≤300
7.5x+5.5y≤2000
x+y>2000
7.5x+5.5y≤300

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which of the following is not a solution to this system of inequalities?

(0,-1)
(0,3)
(4,0)
(6,-2)

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped.  The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. What are the variables you need to define?

x is gas, y is mileage
x is car, y is moped
x is gas, y is moped
x is car, y is mileage

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped.  The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. 
What are the constraints?

x≤10, y≤3, x+y≤12
0≤x≤10, 0≤y≤3, x+y≤12
x≥0, y≥0, 10x+3y≤12
x≤10, y≤3, 10x+3y≤12

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