Thursday

October 30, 2014

October 30, 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

**Answer this Question**

**Related Questions**

calculus - The question I'm having problems with is If f(x)=3x^2+7x+2, find f'(4...

English - Hello. I wonder if it's possible to say: "He made an attempt of ...

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

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

toxicology- can someone re work this question? - Hi, I have to answer this ...

Social Studies -- Merisa - I've reposted your question because it was posted as ...

same type of binomial theorem question - Question: Find the first 3 terms in the...

Math - I posted these 2 questions a couple of days ago and although the help I ...

Social Studies - What are some of the coolest facts about Washington D. C.? ...

American National Government - Can someone please help with this question? It ...