Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
that1chick
Group Title
I'm not asking for you to do my work for me, just help me create a system of inequalities please!
• The name of your company
• The type of business (i.e., clothing, electronics, furniture, etc.)
• Two products your company will make
• Assign variables to the two products; please use x and y
• A system of inequalities based on the following information
o Produce at least 30 of product #1.
o Produce at least 20 of product #2.
o Product #1 costs $3 per unit to make.
o Product #2 $5 per unit to make.
o The total production cost cannot exceed $340.
• Graph the system of inequalities
o
 one year ago
 one year ago
that1chick Group Title
I'm not asking for you to do my work for me, just help me create a system of inequalities please! • The name of your company • The type of business (i.e., clothing, electronics, furniture, etc.) • Two products your company will make • Assign variables to the two products; please use x and y • A system of inequalities based on the following information o Produce at least 30 of product #1. o Produce at least 20 of product #2. o Product #1 costs $3 per unit to make. o Product #2 $5 per unit to make. o The total production cost cannot exceed $340. • Graph the system of inequalities o
 one year ago
 one year ago

This Question is Closed

that1chick Group TitleBest ResponseYou've already chosen the best response.0
What I have so far: Beyond the Galaxy We create trippy clothes. Such as (product #1:) shirts (x) and (product #2:) skirts (y). 30x+20y<= $3x+$5y<=$340
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
x is the number of items of product 1 so when you make the requirement that you must "Produce at least 30 of product #1", this means x >= 30 So you can produce x = 30, x = 31, x = 32, ... items of product 1 (but nothing less than 30)
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
So what do you get when you translate "Produce at least 20 of product #2"
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
y>= 20?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you got it
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Therefore, your system should be x >= 30 y >= 20 3x+5y <= 340
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
dude, thank you so much! :D
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yw, the only thing left to do is graph do you know how to do that?
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
not with inuqualitites.. help?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
to graph x >= 30, follow these steps Step 1) graph the vertical line x = 30 Step 2) make it a solid line Step 3) shade to the right of this solid line
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
To graph y >= 20, you * graph the horizontal line y = 20 * make it a solid line * shade above the solid line
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
to graph 3x+5y <= 340, you * graph the line 3x+5y = 340 * make it a solid line * shade below the line
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
all 3 regions overlap to form the final shaded region
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
how would I do 3x+5y <= 340?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
plug in x = 0 to get 3x+5y = 340 3*0+5y = 340 5y = 340 y = 340/5 y = 68 So one point on the line 3x+5y=340 is (0,68)
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
Youre amazing! xD
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
thx, now you just need one more point to graph 3x+5y = 340
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
x=30, right?
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
hold on, it didn't post part of the directions..
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
alright
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
If Product #1 earns a profit of $10 per unit and Product #2 earns a profit of $15 per unit, find the combination of Product #1 and Product #2 that will maximize profit. A commercial that could be used to advertise your two products to the general public. You may include a slogan or jingle.
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
same problem or different one entirely?
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
I think.. It was just the directions continued
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
alright thx
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Let P = combined profit of products #1 and #2 So "If Product #1 earns a profit of $10 per unit and Product #2 earns a profit of $15 per unit", then P = 10x + 15y
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
The ideal situation is that there is an ordered pair (x,y) that is within the shaded region and makes P as large as possible
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
It turns out that this ordered pair is a vertex of the shaded region ie, it is formed by the intersection of two of the lines
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
here is the xy axis dw:1358723166719:dw
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
now here I'm going to add on the graphs of x = 30, y = 20, and dw:1358723212768:dw
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
the shaded region is here dw:1358723376880:dw and it includes the surrounding (triangular) boundary
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
x would be (30,0) and y would be (0,20) right?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
what do you mean
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
for x>=30 I would graph (0,30) ?
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
i mean (30,0)
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yes you would use any points with an x coordinate of 30
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
ok cool
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
were you able to find the points of intersection?
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
still working on it
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
alright
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
I have the points so far
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
this is what I got (see attached)
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
So I connect them and shade the middle right?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
those points you got look like they need more points to be able to draw the 3 lines
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
take a look at what I posted and see if that makes sense or not
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
It wont open
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
odd, it should work with geogebra your file worked
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
here is a screenshot of the graph
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
So I need to (30,0) and (30,4)
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
more points
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yes 2 points per line
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
k I have
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
the screen shot worked (:
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
ok great, the upper horizontal line should be diagonal like in the pic i posted
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
so how do I fix that?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
make it go through the points (0,68) and (30,50)
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
Ive never used GeoGebra before
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
or you can simply type in 3x+5y = 340 into the input bar and it will graph the line 3x+5y = 340 for you
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
K I got
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
ok you got all 3 lines nailed down correctly
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
the shaded region will be the triangle in the middle and it will include the boundary
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
Ok awesome! ..how do I shade it?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
like shown in the attachment
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you can use geogebra to do the shading, or you can use paint like I just did (I used the paint bucket) to fill in the correct region
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
Thank you so much!
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
sure thing, you can then easily use geogebra to find the points of intersection then you need to see which points give you the max profit
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
So the shaded region would be P = 10x + 15y, right?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
no that has nothing to do with the shaded region once you find the vertices, you use P = 10x + 15y to test each one
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
no it won't, the shaded region is done
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
what are the points of intersection
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
Oh! I plug in the x and y coordinates into P = 10x + 15y
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yep, you find the x,y coordinates of these three intersections
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
then you plug them into P = 10x + 15y
 one year ago

that1chick Group TitleBest ResponseYou've already chosen the best response.0
Okays thank you (:
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
the ordered pair that gives you the largest value of P is the winner
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.