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Mathematics 20 Online
OpenStudy (anonymous):

HELP please

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8 help

OpenStudy (anonymous):

@SithsAndGiggles help

OpenStudy (phi):

any idea what profit is ? (in general terms)

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

I dont know what to do

OpenStudy (phi):

what is revenue? what is cost ?

OpenStudy (anonymous):

R(q)=550q−q^2

OpenStudy (phi):

that is an equation. But first, you have to know what the words mean. what does "revenue" mean?

OpenStudy (anonymous):

revenue means profit, its your outcome

OpenStudy (anonymous):

@phi

OpenStudy (phi):

if you buy wood for $10, build a table, and sell the table for $20 how much you get for selling the table is $20. That is revenue but that is not your profit, because you had to pay to get the wood. (that is the cost) profit is what is left over of the revenue after you pay the costs.

OpenStudy (anonymous):

ok

OpenStudy (phi):

speaking generally, profit = revenue - cost use that idea, but use the equations they gave you

OpenStudy (anonymous):

i get this -q^2 +562q-75

OpenStudy (anonymous):

can you check that?

OpenStudy (phi):

write down revenue - cost \[ (550q - q^2) - (75+12q) \] now simplify

OpenStudy (phi):

your middle term 562q is not correct

OpenStudy (anonymous):

I get q^2 -538q + 75

OpenStudy (anonymous):

is that what you get?

OpenStudy (phi):

you were closer the first time start with \[ (550q - q^2) - (75+12q) \] next, "distribute" the minus sign . that means multiply each term inside the parens by -1 can you do that ?

OpenStudy (anonymous):

550q-q^2-75-12q

OpenStudy (phi):

yes, now combine "like terms" 550q - 12q and put in "standard order"

OpenStudy (anonymous):

-q^2 +538q-75

OpenStudy (phi):

looks good. that is the equation of a parabola (shaped like \( \cap\) ) It has a peak at the vertex. any idea how to find the q value (q is like x in a "normal" equation) of the vertex? It is -b/(2a)

OpenStudy (anonymous):

I get 269 for the second part

OpenStudy (anonymous):

is that what you get?

OpenStudy (phi):

yes

OpenStudy (anonymous):

@phi can you help me with one more question?

OpenStudy (phi):

if you make a new post

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