Which is the maximum value for the vertices for the following:
y≤2x−3y≤−13x+4
x≤9
f( x,y )=3x−2y
A. -3
B. 3
C. 16
D. 25

Question

Which is the maximum value for the vertices for the following: 
y≤2x−3y≤−13x+4
x≤9
f( x,y )=3x−2y
	A.	-3
	B.	3
	C.	16
	D.	25

aum · Answer

Can you post a screenshot of the question?

anonymous · Answer

http://prntscr.com/4h46sb

aum · Answer

Much better.  

Plot the following three lines: 
y = 2x - 3
y = -1/3 * x + 4
x = 9
and find all the intersection points first.

aum · Answer

If you want to skip graphing, you can find the intersection of the lines:
y = 2x - 3  and  y = -1/3 * x + 4
y = -1/3 * x + 4  and  x = 9
y = 2x - 3  and  x = 9

Let me know when you find the three points of intersection.