

1. 
Find the maximum value of f(x, y) = 2x + y  2 for the polygonal convex set determined by the system of inequalities. 





A. 
6 
B. 
12 


C. 
18 
D. 
14 


Hint 


2. 
Solve the system of inequalities by graphing. x + y 4 2x  y < 4 y 0 


A. 

B. 



C. 

D. 



Hint 


3. 
Name the coordinates of the vertices of the polygonal convex set. 





A. 
(4,1), (4,3), (2,4), (4,2) 
B. 
(4,1), (4,3), (2,4), (4,2) 


C. 
(4,1), (4,3), (2,4), (4,2) 
D. 
(4,1), (4,6), (2,4), (4,2) 


Hint 


4. 
Find the maximum value of f(x, y) = x  4y for the system of inequalities. 2x + y 3 2x + y 2 y 4 x < 1 


A. 
3 
B. 
16 


C. 
17 
D. 
16 


Hint 


5. 
Find the minimum value of f(x, y) = x  4y for the system of inequalities. 2x + y 3 2x + y 2 y 4 x < 1 


A. 
16 
B. 
3 


C. 
17 
D. 
16 


Hint 

