(a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides. That is, no fence is needed on that side. If the enclosed area is to be 50 square feet, what are the dimensions (in feet) of the smallest amount of fence needed?

(a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides. That is, no fence is needed on that side. If the enclosed area is to be 50 square feet, what are the dimensions (in feet) of the smallest amount of fence needed?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...

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Question

IV
calculus and algebra); justify that your answer does indeed yield the required absolute
Solve the following optimization problems analytically (that is, using
maximum/minimum.
(a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.
That is, no fence is needed on that side. If the enclosed area is to be 50 square feet, what
are the dimensions (in feet) of the smallest amount of fence needed?
(b) An open box with a square base and a surface area of 2700 square inches is needed. Find the
dimensions of the box that would result in the largest volume?
Page 8 of 9
(c) Find the coordinates of the point on the line y = xv2 which is closest to the point
(9, 0).

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