Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective function. x=0 y=0 y=y+x Objective Function: C = 6x – 4y

Question

Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective function.
x>=0
y>=0 
y<=1/3x+3
5>=y+x
Objective Function: C = 6x – 4y

anonymous · Answer

@sammixboo  please help... I've been on this question forever

anonymous · Answer

@wormie2014 @tester97 @iambatman @oOKawaiiOo @perl Someone please help

anonymous · Answer

i'm not sure what this answer is

anonymous · Answer

@wormie2014 Okay, thank you :)

anonymous · Answer

@StudyGurl14 sorry to bother you when you first get online but can you please help me?

anonymous · Answer

@StudyGurl14 If I were to plug in points to the objective function.. would it look something like this?    C = 6(0,0)(5,0) – 4(0,3) ?

studygurl14 · Answer

Your first step would be to graph all the equations on the same graph and see the region in which the graphs overlap

anonymous · Answer

Yes I graphed them but I need help after that..... here is the link:

anonymous · Answer

https://www.desmos.com/calculator/ygtpnkixcp

studygurl14 · Answer

Okay, so take those points, and then plug each of them into the objective function. Which ever one results in the highest amount of C, is the answer

studygurl14 · Answer

Remember, (x,y)

anonymous · Answer

C = 6(0,0)(5,0)4(5,0)
What now? and do I plug in (1.3,3.5)?

studygurl14 · Answer

Plug in one at a time and solve
(0,0) You already know this one is going to be the lowest, so don't even bother pluggin this one in
(5,0)
 C = 6x – 4y
C = 6(5) - 4(0)
See?

studygurl14 · Answer

(refresh if you see question marks)

anonymous · Answer

Oh okay and calculate each one?

studygurl14 · Answer

yep

anonymous · Answer

So for the first one... C = 30?

anonymous · Answer

And do this for all of them including (1.5, 3.5) ?

studygurl14 · Answer

yep

studygurl14 · Answer

correct, for that one, C = 30

anonymous · Answer

So whichever is the highest or least is the answer?

studygurl14 · Answer

Which ever is the highest is the answer since you are tying to find the maximum of the objective function

anonymous · Answer

And thats it? :D

studygurl14 · Answer

yep :)

anonymous · Answer

WOW thank you I have been on this question since yesterday you are so smart I love you!!! :'D

studygurl14 · Answer

lol, thank you. :)

anonymous · Answer

THANK YOU! <3

studygurl14 · Answer

anytime :)

anonymous · Answer

For anyone with this problem, answer is 30!! :)