anonymous
  • anonymous
a page of print is to contain24in^2 of printed region,a margin of 1and1/2 at the bottom,and a margin of 1in.at the sides..what are the dimensions of the smallest page that will fill these requirements?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
http://tutorial.math.lamar.edu/Classes/CalcI/Optimization.aspx See example 6
radar
  • radar
A great reference. Thanks godnod. Let me see if I can put it together and held ronadelossantos. Let y equal one dimension of the printed material. Let x = the other dimension of the printed material. It is stated that the printed material is 24 sq. inches. Thus: xy=24. We will use that information later. One dimension of the paper (including the margins) will be x+1 and the other dimension is y+2. Returning to the xy=24 we can say y=24/x. We now have enough information to solve.
radar
  • radar
\[A=(x+1)((x/24)+2)\] This becomes: \[24x/x+2x+24/x+2\] \[24+2x+24/x+2\] \[2x+24/x+26=A\] \[2x+24x ^{-1}+26=Area\] Differntiating and set zero for min/max

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

radar
  • radar
A' = 0\[A'=2-24x ^{-2}=0\]
radar
  • radar
\[-24=-2x ^{2}\] \[x ^{2}=12\] \[x=2\sqrt{3}\] one dimension solve for y y=24/x \[y=24/(2\sqrt{3}=12/\sqrt{3}=4\sqrt{3}\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.