Question

How do I get 3x + 5y <= 340 to 10x + 15y?

Answer 1

i think you are not getting an answer because the question is not clear

Answer 2

If @satellite73 couldnt answer it on the spot then u know something is wrong with ur question XD

Answer 3

I'll type the whole question out... but it's long

Answer 4

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
Produce at least 30 of product #1.
Produce at least 20 of product #2.
Product #1 costs $3 per unit to make.
Product #2 $5 per unit to make.
The total production cost cannot exceed $340.
Graph the system of inequalities
This can be done by hand or using a graphing software like GeoGebra.
Label the lines, points of intersection, and axis.
Show the shaded solution of the three inequalities and explain what it represents.
If GeoGebra is used, follow Directions for GeoGebra.
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.

Answer 5

I have most of it done..

Answer 6

ok i see what the question is

Answer 7

you have graphed
\[3x + 5y\leq 340\] and \(x>30,y>20\)

Answer 8

and you want to maximize \(10x+5y\)

Answer 9

so what you want to do, if i remember correctly, is look at the corners of the graph
where the lines intersect
then check which one makes \(10x+5y\) the largest

Answer 10

Did 10x+5y come from 3x+5y? and I must of graphed it wrong?

Answer 11

no no that was a typo on my part, sorry

Answer 12

you want to maximize \(10x+15y\) is what i meant to write

Answer 13

i wrote it twice too, didn't mean to confuse you, sorry about that

Answer 14

so can you see the corners of your graph? where the lines intersect?

Answer 15

You're fine. but I still don't understand where 10x+15y came from. The VERY first thing I posted you can ignore!

Answer 16

it came from this like here in the question
"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."

Answer 17

the profit is \(10x+15y\)

Answer 18

This is my graph.

Answer 19

OMG. I AM SO SORRY! I am stupid.. I see now..

Answer 20

i can't open it, but it should look something like this
http://www.wolframalpha.com/input/?i=3x%2B5y%3C340%2C+x%3E+30%2C+y%3E20

Answer 21

you have to check the corners of the graph to see which numbers make \(10x+15y\) the largest

Answer 22

It look a little like that! But more of just a line.. Not a triangle.

Answer 23

you have to graph 3 lines
the vertical line \(x=30\) and shade to the right
also the horizontal line \(y=20\) and shade above it
then \(5x+3y=340\) and shade below it

Answer 24

that is why you get a triangle

Answer 25

Hmm.. ALright.. I am going to try to graph this.

Answer 26

Alright! I got it. Thank you so much(:

Answer 27

once you do, you should see that the corners are \((30,50)\) and \((20,80)\)

Answer 28

then plug those numbers in to
\[10x+15y\] and see which one is the biggest

Answer 29

That is what I got! for the points.

Answer 30

that was your original question, which was not clear but is now
compute
\[10\times 30+15\times 50\] and
\[10\times 20+15\times 80\] to finish

Answer 31

which ever is biggest is the point you want, i.e. how many of each to produce

Answer 32

THANK YOU SO MUCH!!!!

Answer 33

you are quite welcome
hope it is clear

Answer 34

Very!(: