Question

A farmer wants to fence in a rectangular plot of land adjacent to his barn. No fence is needed along the barn. If the fencing cost $20 per foot and he wants to enclose 800 square feet, then what dimensions will minimize cost?

Answer #1

A farmer wants to fence in a rectangular plot of land adjacent
to the north wall of his barn. No fencing is needed along the barn,
and the fencing along the west side of the plot is shared with a
neighbor who will split the cost of that portion of the fence. If
the fencing costs $24 per linear foot to install and the farmer is
not willing to spend more than $6000, find the dimensions for the
plot that...

A farmer wants to fence in a rectangular plot of land adjacent
to the north wall of his barn. No fencing is needed along the barn,
and the fencing along the west side of the plot is shared with a
neighbor who will split the cost of that portion of the fence. If
the fencing costs $16 per linear foot to install and the farmer is
not willing to spend more than $8000, find the dimensions for the
plot that...

A farmer wants to fence in a rectangular plot of land adjacent
to the north wall of his barn. No fencing is needed along the barn,
and fencing along the west side of the plot is shared with a
neighbor who will split the cost of that portion of the fence.
Fencing costs $20 per linear foot. The farmer is not willing to
spend more than $5000. Find the dimension for the plot that would
enclose the most area.

1.) A farmer wants to fence in a rectangular plot of land
adjacent to the north wall of his barn. No fencing is needed along
the barn, and the fencing along the west side of the plot is shared
with a neighbor who will split the cost of that portion of the
fence. If the fencing costs $12 per linear foot to install and the
farmer is not willing to spend more than $3000, find the dimensions
for the plot...

A farmer plans to fence a rectangular pasture with two pens
adjacent to a river. No fencing is needed along the river. Both
pens have access to the river. If a total pasture of 19,200 sq ft
is desired, what dimensions will require the least amount of
fencing?

A farmer wants to enclose a rectangular field by a fence and
divide it into 2 smaller but equal rectangular fields by
constructing another fence parallel to one side. He has 6,000 yards
of fencing.(a) draw picture (b) Find the dimensions of the field so
that the total area is a maximum. (c) Find the
dimensions of the rectangular field the farmer can make the will
contain the largest area.

A farmer has 800 ft of fencing, and wants to fence off a
rectangular field that borders a river with a straight bank. She
needs no fence along the river. What are the dimensions of the
field of largest area?

A fence is to be built to enclose cows in a rectangular area of
200 square feet. The fence along three sides is to be made of
material that costs $5 per foot, and the material for the fourth
side costs $16 dollars per foot. Find the dimensions of the
enclosure that minimize cost, and give the minimum cost to build
the fence

A farmer wants to fence in and area of 1.5 million square feet
in a rectangular field. He then divides the area in half by putting
another line of fencing parallel to one of the sides of the
rectangle in the interior of the area. What is the dimensions of
the rectanglular area that minimizes the amount of fencing used.
Let x denote the length of fencing (in million of ft) along the
direction where 3 pieces of fencing is...

A builder has a large plot of land and wishes to fence in 60,000
square feet of it in a rectangular shape. Because of security
reasons, the fence along one side of the rectangle costs $2 per
foot, whereas the fence for the other 3 sides cost $1 per foot. How
many feet of each type of fence will the builder need to buy in
order to minimize the cost?

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