Wednesday

April 16, 2014

April 16, 2014

Posted by **casidhe** on Friday, April 20, 2012 at 11:41pm.

I've done the first question but I cannot get any farther. I'm so stuck. Please explain or just help me to figure out the next steps.

A printed poster is to have a total area of 837 square inches with top and bottom margins of 7 inches and side margins of 6 inches. What should be the dimensions of the poster so that the printed area be as large as possible?

*To solve this problem let x denote the width of the poster and let y denote the length. We need to maximize the following function of x and y:

ANSWER:(x-12)(y-14)

*We can reexpress this as the following function of x alone:ANSWER: f(x)=(x-12)(837/x-12)+14

*We find that f(x) has a critical number at x=_________

*To verify that f(x) has a maximum at this critical number we compute the second derivative f(x) and find that its value at the critical number is_________, a negative number.

*Thus the optimal dimensions of the poster are ________ inches in width and ________ inches in height giving us a maximal printed area of ________square inches.

- calculus -
**Anonymous**, Monday, November 12, 2012 at 4:23amYolo

**Related Questions**

help help helppppp pleasee - ý posted some question of physics... please any one...

Physics - A hypothetical spherical planet consists entirely of iron (p=7860 kg/m...

Science EASY HELP - I had posted this question before but no one answered for ...

Calculus Precalculus - Answer the calculus question about Point P, 45 mph, etc. ...

Chemistry - Sorry I accidently hit enter and it posted my question before I was ...

Dr.Bob can you check out the question down the pg - I posted a question ...

linear analysis - how do i solve for y(x) if dy/dx=x+y and y(0)=1 I know the ...

pre-calculus - I posted a problem earlier and made a mistake the question is ...

Science - - Second Try - I'll repost the question I posted about thirty five ...

bobpursley, drwls. ms. sue Writeacher - When a second post is made to a question...