anonymous
  • anonymous
The management of a large store wishes to add a fenced in rectangular storage yard of 20000 ft^2 using the building as one side of the yard. Find the minimum amount of fencing that must be used to enclose the remaining 3 sides of the yard.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1352078429334:dw|
anonymous
  • anonymous
Okay, I am confused on what formula to use
anonymous
  • anonymous
Called away a short time ago. area = h*w, 20000= h*w perimeter = 2h + w Solve 20000 = h*w for w and plug the result into the RHS of the perimeter equation. Take the derivative of the resulting RHS, set the derivative expression to zero and solve for h.

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anonymous
  • anonymous
Thank you!
anonymous
  • anonymous
You're welcome and thank you for the medal. If you have access to the Mathematica 8 program, then this problem could have been solved using the Constrained Optimization function, Minimize: \[\text{Minimize}[\{2h+w,w h==20000,w>0,h>0\},\{w,h\}] \]\[\{400,\{w\to 200,h\to 100\}\} \] The 400 is the minimum perimeter value. No knowledge of the Calculus required with this approach.
anonymous
  • anonymous
Oh, okay, thanks I didn't know about that! Thank you !

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