Linear Programming
Authored by Alison Dove
Mathematics
9th - 12th Grade
CCSS covered
Used 16+ times
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7 questions
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1.
MULTIPLE CHOICE QUESTION
5 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
5 mins • 1 pt
It takes Sarah 2 hours to make small purses (x) and 3 hours to make big purses(y). She can work for no more than 18 hours a week. Which inequality represents this situation?
2x + 3y ≤ 18
x + y ≤ 6
x + y ≤ 9
3x + 2y ≤ 18
3.
MULTIPLE SELECT QUESTION
3 mins • 1 pt
Due to the face that Sarah cannot make a negative number of purses, what other constraints does she have?
x≥0
y≥0
x≤0
y≤0
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
You graph using Desmos.com and get the following graph. Which are vertices of the feasible region?
(0, 0), (0, 6),
(6, 2), (8, 0)
(0, 0), (6, 0),
(2, 6), (0, 8)
Tags
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Objective quantity:
30x + 50y
Corner Points: (0, 0) (8, 0) (6, 2) (0, 6)
What is the maximum profit?
300
280
400
240
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
How many of each purse should Sarah make to maximize profit? (Recall: x represents small purses and y represents big purses)
6 big purses
8 small purses
6 small purses and 2 big purses
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