2A Practice
Name ___________________________
Algebra 2
1. Complete the graph of the given constraint equations below by shading the feasible region.
Constraint equations:
y
-20x + y  50
500
y  - 10x+500
450
y  150
400
350
300
250
200
150
100
50
x
10
20
30
40
50
60
70
b. Identify the intersection points defining the feasible region and write each of them as ordered pairs. Assume
the graph is accurate and use lattice points to find intersection points otherwise use algebra. Note: Negatives
are not feasible.
2. Which point of intersection gives the maximum value for the
objective function f(x,y) = 11x+4y? The grey area is the feasible
region (Show your work).
Baking Powder
28
26
24
22
a. (0, 16)
b. (0, 0)
c. (6,12)
d. (12, 0)
20
18
16
14
12
10
8
6
4
2
Nutmeg
2
4
6
8
10
12
14
16
18
20
22
24
3. Determine the correct constraint equations for the following graph. The grey area is the feasible region.
x  y
y  6

a. 
x  5
 x  1
x  y
y  6

b. 
x  5
 x  1
x  y
y  6

c. 
x  5
 x  1
x  y
y  6

d. 
x  5
 x  1
26
28
4. Graph the constraint functions below defined by the equations
y  25
2 x  y  30

y  3x  5 .
x  6

y  0
5. Find the intersection point between the following equations, please write your final answer as an ordered pair.
4 x  3y  10

8 x  2y  4