By graphing the system of constraints, find the values of X and Y that maximize the objective function

2

Question

By graphing the system of constraints, find the values of X and Y that maximize the objective function

2<=x<=6
1<=y<=5
x+y<=8

maximum for P=3x+2y

A. (2,1)
B. (6,2)
C. (2,5)
D. (3,5)

anonymous · Answer

@amistre64

amistre64 · Answer

the system of constraints give us 'corner' points to test out

amistre64 · Answer

x+y < 8  give us that y < Line .... so we seem to be bound by a triangle

anonymous · Answer

This is what I got when I graphed them

amistre64 · Answer

hmm, then 5 points of interest

amistre64 · Answer

what are our points?

anonymous · Answer

(2,6)
(3,5)
(6,2)
(7,1)
(8,0)

amistre64 · Answer

and all our options are valid points of interest ... just test them out

anonymous · Answer

Wait swap out (8,0) for (2,1)

anonymous · Answer

Look, I'm confused now haha

amistre64 · Answer

maximum for P=3x+2y 

since all the options are valid points of interest, test them out

A. (2,1) 
B. (6,2) 
C. (2,5) 
D. (3,5)

amistre64 · Answer

6+2
18+4
6+10
9+10

anonymous · Answer

It would be B right? (6,2)?

phi · Answer

some of your points are outside the allowed region
the allowed region is where all the shaded areas overlap

amistre64 · Answer

(6,2) _. 18+4  is the max yes :)

amistre64 · Answer

the points given as options are all valid

amistre64 · Answer

|dw:1445726304619:dw|

phi · Answer

these are the points

amistre64 · Answer

"some of your points are outside the allowed region"

which ones?