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Mathematics 13 Online
OpenStudy (anonymous):

Well someone help me on here before with this answer, but i would like you to explain it for me if that all right with you? @DanJS

OpenStudy (anonymous):

The Mathalot Company makes and sells textbooks. They have one linear function that represents the cost of producing textbooks and another linear function that models how much income they get from those textbooks. Describe the key features that would determine if these linear functions ever intersected.

OpenStudy (danjs):

ok

OpenStudy (danjs):

sorry was finishing another problem

ganeshie8 (ganeshie8):

Alright so you have a function that gives you `cost` of producing textbooks and another function that gives you `income`

ganeshie8 (ganeshie8):

what happens when cost equals income ?

OpenStudy (danjs):

Remember the whole point of the last problem?

OpenStudy (danjs):

the 'breaking even' point

OpenStudy (danjs):

C(x) = I(x)

OpenStudy (anonymous):

yea

OpenStudy (danjs):

the slopes of those lines can not be the same

OpenStudy (danjs):

they cant sell the things for the same price they are paying to produce them

ganeshie8 (ganeshie8):

what happens when the sales money you get equals the cost of producing books ?

ganeshie8 (ganeshie8):

@strawberrylove2016

OpenStudy (danjs):

Hint: it was the question, in another from, from the last problem.

OpenStudy (anonymous):

Its parallel, meaning its infinite. right?

OpenStudy (danjs):

meaning, never 'break even' remember last prob, we had to derive an equation where Susie begins to make a profit?? that would be where the lines cross

OpenStudy (danjs):

If the lines do not cross, no profit will be made

OpenStudy (danjs):

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OpenStudy (danjs):

See at # books = 0, you start at your initial investment,

OpenStudy (danjs):

the Cost line

OpenStudy (anonymous):

yea

OpenStudy (danjs):

Your income is zero when no books are made, Crosses at the origin (o,o)

OpenStudy (danjs):

So the KEY feature that will decide if the lines cross are the SLOPES.

OpenStudy (danjs):

The slope of the INCOME line must be GREATER than the slope of the COST line

OpenStudy (danjs):

The SLOPE of the income line is the price per book

OpenStudy (anonymous):

OMG i knew this!!! Why can't i put it into word's!!!!!

OpenStudy (danjs):

Then when you get past that point where they cross, the 'breaking even' point, The difference in the two lines $$ value is the PROFIT. see where i have it marked??

OpenStudy (danjs):

|dw:1419482892509:dw|

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