anonymous
  • anonymous
AP Calculus You are desigining a rectangular poster to contain 256 in^2 of printing with 3 in. margin at the top and bottom and a 2-in. margin at each side. What is the overall dimensions will minimize the amount of paper used?(round to the nearest whole number) A. 13 in by 20 in B. 15 in by 23 in C. 17 in by 26 in D. 19 in by 23 in E. 20 in by 22 in Show all work
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
TuringTest
  • TuringTest
Here's our figure|dw:1327356983247:dw|we are given that the printed area is the printed area will be\[P=xy=256\]and the whole area will be\[A=(x+4)(y+6)\]after we include the margins. Solve the first equation for either x or y so we can get the second equation in terms of one variable\[P=xy=256\to y=\frac{256}{x}\]theh sub this into the second equation\[A=(x+4)(y+6)\to A(x)=(x+4)(\frac{256}{x}+6)\]and we can find maximums and minimums of this function by setting\[\frac{dA}{dx}=0\]so find the derivative of the function above (in terms of x) and set it to zero. Then just make sure that the number you found is a minimum, not a max.
TuringTest
  • TuringTest
*we are given that the printed area is
anonymous
  • anonymous
Would I take the the derivative of A(x) or A?

Looking for something else?

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

More answers

TuringTest
  • TuringTest
A(x) otherwise you will get more than one variable
anonymous
  • anonymous
Do I do the distrubtive property? before i take the derivative?
TuringTest
  • TuringTest
you could, but the product rule would work as well. whatever is easiest for you

Looking for something else?

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