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So what do you get when you translate "Produce at least 20 of product #2"

y>= 20?

you got it

Therefore, your system should be
x >= 30
y >= 20
3x+5y <= 340

dude, thank you so much! :D

yw, the only thing left to do is graph
do you know how to do that?

not with inuqualitites.. help?

all 3 regions overlap to form the final shaded region

how would I do 3x+5y <= 340?

Youre amazing! xD

thx, now you just need one more point to graph 3x+5y = 340

x=30, right?

hold on, it didn't post part of the directions..

alright

same problem or different one entirely?

Same

I think.. It was just the directions continued

alright thx

here is the xy axis
|dw:1358723166719:dw|

now here I'm going to add on the graphs of x = 30, y = 20, and
|dw:1358723212768:dw|

x would be (30,0) and y would be (0,20) right?

what do you mean

for x>=30 I would graph (0,30) ?

i mean (30,0)

yes you would use any points with an x coordinate of 30

ok cool

were you able to find the points of intersection?

still working on it

alright

I have the points so far

this is what I got (see attached)

So I connect them and shade the middle right?

those points you got look like they need more points to be able to draw the 3 lines

take a look at what I posted and see if that makes sense or not

It wont open

odd, it should work with geogebra
your file worked

here is a screenshot of the graph

So I need to (30,0) and (30,4)

more points

yes 2 points per line

k I have

the screen shot worked (:

ok great, the upper horizontal line should be diagonal like in the pic i posted

so how do I fix that?

make it go through the points (0,68) and (30,50)

Ive never used GeoGebra before

K I got

ok you got all 3 lines nailed down correctly

the shaded region will be the triangle in the middle and it will include the boundary

Ok awesome! ..how do I shade it?

like shown in the attachment

Thank you so much!

So the shaded region would be P = 10x + 15y, right?

no it won't, the shaded region is done

what are the points of intersection

Oh! I plug in the x and y coordinates into P = 10x + 15y

yep, you find the x,y coordinates of these three intersections

then you plug them into P = 10x + 15y

Okays thank you (:

the ordered pair that gives you the largest value of P is the winner

cool