Question

can someone help me please im not sure how to do this i will medal!! :)

Answer 1

by graphing the system of constraints find the values of x and y that maximizes the objective function

Answer 2

x+y<8
2x+y<10
x>0
y>0

Answer 3

Which of these is the objective function?

x+y<8

2x+y<10

x>0

y>0

Answer 4

i know that x>0 and y>0 set up the graph and i would have to graph x+y<8 and 2x+y<10 and thats the part im not sure how to do is graphing it

Answer 5

We can use Demos.com to graph the 4 inequalities.

What I think is that you have left off the objective function from the posted problem.

We need it.

These are the constraints:

x+y<8 2x+y<10 x>0 y>0

Answer 6

oh sorry i did lol here it is
maximum for N=100x+40y

Answer 7

Look at the attachment. The problem has an objective function given at the beginning of the problem.

Answer 8

ok?

Answer 9

Okay.

We need the boundary points to check in the equation of the objective function.

Let's graph and see what shows up. desmos.com

Answer 10

im not sure how to

Answer 11

okay i pulled up desmos what do i do now?

Answer 12

140x
10x65

Answer 13

what?

Answer 14

>>okay i pulled up desmos what do i do now?

Enter the constraint inequalities. Hold on.

Answer 15

what???

Answer 16

I don't see a region which is colored red, green, blue, and purple.

I see an intersection at (0,0), I think.

Answer 17

Let's try to solve these algebraically

Answer 18

oh they have that line under the > < btw

Answer 19

>> oh they have that line under the > < btw

I don't know what you are saying by that

Answer 20

I think that this is the common restraint region.

Attached

Answer 21

Of (0,8) and (2,6) and (0,0) and (5,0) which of these maximizes

N = 100x + 40 y ?

Test (0,8)

N = 100*0 + 40*8 = 0 + 320
-------------------

You test N = 100*x + 40*y for x = 2, y = 6

Post what you get, okay?

@song_of_the_sole

Answer 22

100(2)+40(6)

Answer 23

right

Answer 24

I just realized what you mean about the less than or greater than symbols really being less than or equal to and greater than or equal to.

≥ and ≤

Answer 25

___> 100(2)+40(6) = what?

Answer 26

I'll check the next point: (0,0)

N = 100*0 + 40*0 = 0 + 0 = 0

You do the value of N for (5,0)

Answer 27

@song_of_the_sole

100(2)+40(6) = what?

Answer 28

440

Answer 29

(0,8) goes to 320

(2,6) goes to 440


(0,0) goes to 0

(5,0) goes to 500 **** Maximized

Answer 30

so its 5,0

Answer 31

??

Answer 32

>> find the values of x and y that maximizes the objective function

x = 5 and y = 0

Answer 33

okay i get it now thank you so much

Answer 34

You are welcome.