Question

What point in the feasible region maximizes the objective function. I just need help graphing.

Answer 1

Have you tried graphing it using desmos.com?

Answer 2

I tried using the desmos calc and I don't think I put it in right. I put in all the info and the feasible region has only 3 points and it doesn't look correct.

Answer 3

You do realize that (0,0) is a point as well, right?

Answer 4

see, idk how you do that. I got (-3,0) (1.5,1.5) (3,0) and then you said (0,0) which didn't look like it was a point on mine

Answer 5

For this case, I assume this is what you have:

https://www.desmos.com/calculator/sb8qy6dhpz

Answer 6

Do you just copy and paste the website? So I can show you what I have

Answer 7

The inequality y <= 1/3(x) + 3 doesn't even factor into it because it only intersects with a point on the edge of the region. So you truly do only have three points.

Answer 8

Take a look at that last link I posted

Answer 9

I did and mine looks nothing like that haha

Answer 10

Hmmm

Answer 11

Well, that's the correct region, and it only has three points like you were saying.

Answer 12

how can I show you what I have

Answer 13

You would have to sign in with google to be able to generate links

Answer 14

https://www.desmos.com/calculator/6184og09zb

Answer 15

Oh the numbers are different from what I thought. Hang on

Answer 16

So, the points you gave me earlier in one of the links are not correct?

Answer 17

No, forget those other links. I'll post the the right graph this time. If you want this to work for you, you have to learn how to plot line segments

Answer 18

https://www.desmos.com/calculator/xpzixjur2s

Answer 19

There we go

Answer 20

alright, although I have no idea how you plotted the line segments.

Answer 21

Basically what you see is four sets of things plotted. First the equations:

x = 0
y = 0
y = (1/3)x + 1
3 = y + x


Then I plot the intersecting points of those

Then I plot the line segments. Study the last 4 segments. They correspond with the graph. The stuff between the brackets determine the length of each segment along a given line with respect to the x or y axis.

Answer 22

Study the brackets

Answer 23

That will take a while for me to figure out. I get the point of it and how they relate but if I were to try and do it myself I would have some trouble.
the points are: (0,0) (0,1) (3,0) (1.5,1.5) right?

Answer 24

Yes, those are the points of interest.

Answer 25

Ill keep it open though so I can go over it more tomorrow

Answer 26

If you signed into google you can save the graph on your desmos profile, then access it later.

Answer 27

alright, If I tell you the objective function and what I got for the answer will you check it?

Answer 28

Okay, yeah real quick.

Answer 29

I saved it. and k, hold on let me finish. I am almost done

Answer 30

C=5x-4y

Answer 31

(0,0): 5(0)-4(0)=0
(0,1): 5(0)-4(1)=-4
(3,0): 5(3)-4(0)=15
(1.5,1.5): 5(1.5)-4(1.5)=1.5

So the solution is (3,0) 15

Answer 32

Correct

Answer 33

alright, thank you for helping.