WorksheetsLINEAR PROGRAMMING
Total questions: 13
Worksheet time: 40mins
Name
Class
Date
1.
Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?
Which inequality represents the situation?
a)
x + y ≤ 8
b)
x + y ≤ 6
c)
2x + 3y ≤ 6
d)
x + y ≤ 10
2.
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?
a)
2x + 3y ≤ 18
b)
x + y ≤ 6
c)
x + y ≤ 9
d)
3x + 2y ≤ 18
3.
Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?
a)
P = 30x + 50y
b)
P = 50x + 30y
4.
Objective quantity:
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?
a)
300
b)
280
c)
400
d)
240
5.
Which of the following inequalities matches the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
6.
Which of the following inequalities matches the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
7.
What do you call the area where all the shading overlaps?
a)
the answer
b)
the feasible region
c)
the void
d)
the objective function
8.
Given the objective function: P = 30x + 50y
Which vertex maximizes the profit?
a)
(0,0)
b)
(6,2)
c)
(8,0)
d)
(0,6)
9.
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.
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.
a)
x+y≤300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
b)
x+y<300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
c)
x+y≤300
7.5x+5.5y≤2000
7.5x+5.5y≤2000
d)
x+y>2000
7.5x+5.5y≤300
7.5x+5.5y≤300
10.
Solve the system of inequalities. The feasible region is shown by the darkest blue shading.
a)
b)
c)
d)
11.
Which system of inequality is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ -x + 4
12.
The graph of
y ≥ x - 3
uses a __?__ line
y ≥ x - 3
uses a __?__ line
a)
Dashed
b)
Solid
c)
Horizontal
d)
Vertical
13.
x + 3 ≤ 4y
a)
b)
c)
d)
100 %
