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that1chick
 3 years ago
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
that1chick
 3 years ago
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

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that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0What 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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1x 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)

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

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

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0dude, thank you so much! :D

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1yw, the only thing left to do is graph do you know how to do that?

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0not with inuqualitites.. help?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1to 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

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

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1all 3 regions overlap to form the final shaded region

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1plug 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)

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

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0hold on, it didn't post part of the directions..

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0If 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.

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1same problem or different one entirely?

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0I think.. It was just the directions continued

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1Let 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

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1It 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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1here is the xy axis dw:1358723166719:dw

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1the shaded region is here dw:1358723376880:dw and it includes the surrounding (triangular) boundary

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0x would be (30,0) and y would be (0,20) right?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1what do you mean

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0for x>=30 I would graph (0,30) ?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1yes you would use any points with an x coordinate of 30

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1were you able to find the points of intersection?

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0I have the points so far

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1this is what I got (see attached)

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0So I connect them and shade the middle right?

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1take a look at what I posted and see if that makes sense or not

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1odd, it should work with geogebra your file worked

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1here is a screenshot of the graph

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0So I need to (30,0) and (30,4)

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1yes 2 points per line

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0the screen shot worked (:

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1ok great, the upper horizontal line should be diagonal like in the pic i posted

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0so how do I fix that?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1make it go through the points (0,68) and (30,50)

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0Ive never used GeoGebra before

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1ok you got all 3 lines nailed down correctly

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1the shaded region will be the triangle in the middle and it will include the boundary

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0Ok awesome! ..how do I shade it?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1like shown in the attachment

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1you 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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1sure 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

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0So the shaded region would be P = 10x + 15y, right?

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1no it won't, the shaded region is done

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1what are the points of intersection

that1chick
 3 years ago
Best ResponseYou've already chosen the best response.0Oh! I plug in the x and y coordinates into P = 10x + 15y

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1yep, you find the x,y coordinates of these three intersections

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1then you plug them into P = 10x + 15y

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1the ordered pair that gives you the largest value of P is the winner
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