Use graphical methods to solve the linear programming problem.

40x + 80y ≤ 560.
6x + 8y ≤ 72.
x ≥ 0.
y ≥ 0.
Maximize P = 8x + 12y
A. Maximum of 92 when x = 4 and y = 5

B. Maximum of 96 when x = 9 and y = 2

C. Maximum of 100 when x = 8 and y = 3

D. Maximum of 120 when x = 3 and y = 8

Question

Use graphical methods to solve the linear programming problem. 

40x + 80y ≤ 560. 
6x + 8y ≤ 72. 
x ≥ 0. 
y ≥ 0. 
Maximize P = 8x + 12y 
 A. Maximum of 92 when x = 4 and y = 5  
 
 B. Maximum of 96 when x = 9 and y = 2  
 
 C. Maximum of 100 when x = 8 and y = 3  
 
 D. Maximum of 120 when x = 3 and y = 8

anonymous · Answer

C.
The two lines intersects at (8,3)
P[8,3}=100.
The other 3 corners of the  regions
are (0,7),(0,0) and (8,0)