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Algebra 17 Online
OpenStudy (anonymous):

Help please!

OpenStudy (anonymous):

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $30,952 . The variable costs will be $9.50 per book. The publisher will sell the finished product to bookstores at a price of $22.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

OpenStudy (anonymous):

I have forreal been stuck all day....so sorry if i'm slow just really tired

OpenStudy (mathmale):

Given that the variable costs are $9,50 per book, write an expression for the total variable costs as a function of x (the number sold).

OpenStudy (mathmale):

similarly, figure out a formula for the total revenue when x books are sold.

OpenStudy (anonymous):

so i should write a expression

OpenStudy (anonymous):

okay let me think of one

OpenStudy (mathmale):

yes, an algebraic expression, one for each case.

OpenStudy (mathmale):

Three things will show up in your expression: unit cost or unit sales price, number sold, total cost or total revenue.

OpenStudy (anonymous):

P=30,952+9.50*B

OpenStudy (anonymous):

What about that :/

OpenStudy (anonymous):

OMG, nvm

OpenStudy (mathmale):

good start, but this formula is for total production costs, not for the profit (P).

OpenStudy (anonymous):

you won't believe what just happend

OpenStudy (anonymous):

I'm using aleks math website and for some reason the page refreshed with a whole new problem -.- so ugh..

OpenStudy (anonymous):

it sayssnow

OpenStudy (anonymous):

Deon will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.07 per mile driven. The second plan has an initial fee of $53.96 and costs an additional $0.12 per mile driven. How many miles would Deon need to drive for the two plans to cost the same?

OpenStudy (mathmale):

that happens occasionallyl. ;( You need to equate (total production costs) to (total revenue from sales). then solve that for x.

OpenStudy (mathmale):

try to get back to the previous question.

OpenStudy (anonymous):

Aight let me see

OpenStudy (anonymous):

Nope won't let me, apparently this is the new problem it wants me to solve

OpenStudy (mathmale):

Try hitting the "previous page" arrow in the upper left hand corner of your screen. Do that a couple of times. If not successful, we'll switch to this new problem. Better save the URL of this new problem before you try to find the old one.

OpenStudy (anonymous):

I hit the back button like you said a couple of times to bring me back to the old screen with the original problem. Than i hit refresh just to make sure i can stay on that page without any problems. But it ended just loading up the same new problem again. so i guess we have to sole that one

OpenStudy (mathmale):

copy and paste this URL: http://openstudy.com/study#/updates/5670e763e4b0b9558264790d

OpenStudy (anonymous):

just did lol what did it change :o?

OpenStudy (anonymous):

$57.96 + $0.7/mile * x = $53.96 + $0.12/mile * x

OpenStudy (anonymous):

will that equation work

OpenStudy (mathmale):

If nothing has changed, then open a new tab and paste that URL .

OpenStudy (anonymous):

i just did sir

OpenStudy (anonymous):

it brought me back to this page

OpenStudy (mathmale):

scroll all the way up to the top of this page. You'll see the original problem, probably. if you do, copy the orig. problem and paste it at the bottom of this discussion.

OpenStudy (anonymous):

Oh yah i see the original problem atop but there's no need in solving it because i'm supposed to solve the other problem now.

OpenStudy (mathmale):

OK. Find the new problem, copy and paste it at the bottom of this conversation.

OpenStudy (anonymous):

Deon will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.07 per mile driven. The second plan has an initial fee of $53.96 and costs an additional $0.12 per mile driven. How many miles would Deon need to drive for the two plans to cost the same?

OpenStudy (anonymous):

Will this work for it $57.96 + $0.7/mile * x = $53.96 + $0.12/mile * x

OpenStudy (mathmale):

You need to write two linear equations, one for each different car rental firm. You could let the total car rental cost for the first firm be TRCA(x) and the total car rental cost for the second firm be TRCB(x). Can you write both formulas using the price info give to you?

OpenStudy (anonymous):

i can try...Not that good at it

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

can't think of it :(

OpenStudy (mathmale):

TRCA(x) = fixed, up-front cost PLUS daily rate times x (x is the number of days). Your turn.

OpenStudy (anonymous):

TRCB (x) fixed up front cost 53.96 + 0.12M miles driven

OpenStudy (mathmale):

Yes, so TRCB(x) = $53.96 + 0.12m, where m represents the # of miles driven. Good. TRCA(x) = ?

OpenStudy (anonymous):

TRCA (x)= $57.96 + 0.7m

OpenStudy (anonymous):

Btw sorry for wasting your time D:

OpenStudy (mathmale):

that's 0.07, not 0.70. You're not wasting my time. ;)

OpenStudy (mathmale):

Fix TRCA(x).

OpenStudy (anonymous):

oh i missed that so TRCA (x)= $57.96 + 0.70m

OpenStudy (mathmale):

No, TRCA(x)=57.96 + 0.07m. Now set TRCA = to TRCB and solve the resulting equation for m.

OpenStudy (anonymous):

my parents want me to go to bed.. sorry was trying to stay up to do this But i think that answer is 80 something

OpenStudy (mathmale):

It's actually $80. congrats! I'll say good night now. See you again. Welcome to OpenStudy!!

OpenStudy (mathmale):

Not $80, but 80 miles. Sorry.

OpenStudy (mathmale):

bye for now!

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