Posted by casidhe on Friday, April 20, 2012 at 11:41pm.
I've posted this question before and think I've made some progress but it some part of the second answer I got is wrong
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:(x12)(y14)
*We can reexpress this as the following function of x alone:ANSWER: f(x)=(x12)(837/x12)+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 4:23am
Yolo
Answer This Question
Related Questions
 Chemistry  Please help me with this chemistry question? I am working on a lab ...
 calculus  The question I'm having problems with is If f(x)=3x^2+7x+2, find f'(4...
 help help helppppp pleasee  ý posted some question of physics... please any one...
 English  Hello. I wonder if it's possible to say: "He made an attempt of ...
 Social Studies  Merisa  I've reposted your question because it was posted as ...
 Social Studies  What are some of the coolest facts about Washington D. C.? ...
 Calculus  Hello, I posted a question earlier but now I'm stuck on the second ...
 bobpursley, drwls. ms. sue Writeacher  When a second post is made to a question...
 Physics  please check over  Could I please get some further assistance on a ...
 Math  I posted these 2 questions a couple of days ago and although the help I ...
More Related Questions