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Linear Programming Practice

Authored by Sean Roth

Mathematics

11th Grade

CCSS covered

Used 10+ times

Linear Programming Practice
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 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

2.

MULTIPLE CHOICE QUESTION

30 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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

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

Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

30 sec • 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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

300
280
400
240

7.

MULTIPLE CHOICE QUESTION

15 mins • 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

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