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Mathematics 16 Online
OpenStudy (anonymous):

PLEASE HELP ME! Final tomorrow! (1)A poster is to have an area of 180in^2with 1 inch margins at the bottom and sides and a 2 inch margin at the top. What dimension will give the largest printed area?

OpenStudy (anonymous):

So, there is 180 square inches of print correct?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Optimization of a formula. Are you studying calculus?

OpenStudy (anonymous):

calc 1

OpenStudy (anonymous):

So, let the Area to be optimized be : A=(x+2)(x+4)

OpenStudy (anonymous):

i'm no expert but i know that to optimize a formula you take a derivative and set it equal to zero, something like that.

OpenStudy (zarkon):

wouldn't the 180in^2 be for the entire poster...including margins ?

OpenStudy (anonymous):

anliker said it was the printed area

OpenStudy (zarkon):

then that is fixed at 180in^2...no need to maximize

OpenStudy (anonymous):

Did you copy the question correctly anliker?

OpenStudy (anonymous):

you must find the dimensions that maximize it.

OpenStudy (anonymous):

so , then we dont have any printed area?

OpenStudy (zarkon):

the way you have it now there at infinitely many solutions that yields a fixed 180in^2 print area

OpenStudy (anonymous):

recheck, that you have the correct question?

OpenStudy (zarkon):

I believe that we need to include the margins into the 180in^2. Then we could maximize the printed area.

OpenStudy (zarkon):

is this problem in Stewart's calculus book?

OpenStudy (zarkon):

I'm pretty sure I have assigned something like this before

OpenStudy (anonymous):

OK that may be correct . my teacher doesnt exactly speak perfect english or write it either.

OpenStudy (anonymous):

I reviewed the problem and it is was typed correctly

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