Question

We wish to build a rectangular pen. Three of the sides will be made from standard fencing costing $7 per foot; the fourth side will be made using a decorative fence costing $19 per foot. If the total enclosed area must be 1200 sq. ft., what are the dimensions of the pen with the lowest total cost? What is that total cost?

short side:

long side:

total cost:

Answer #1

A farmer needs to build a rectangular pen with one side bordered
by a river (that side does not need a fence). He wants the pen to
have an area of 200 sq. ft. What should the dimensions of the pen
be to use the smallest amount of fencing around the three fenced
sides? Support your answer using derivatives

Ben wants to build a rectangular enclosure for his animals. One
side of the pen will be against the barn, so he needs no fence on
that side. The other three sides will be enclosed with wire
fencing. If Ben has 450 feet of fencing, you can find the
dimensions that maximize the area of the enclosure.
A(W)=A(W)=
b) What width WW would maximize the area?
WW = ft
Round to nearest half foot
c) What is the maximum area?
AA...

Jesse wants to build a rectangular pen for his animals. One side
of the pen will be against the barn; the other three sides will be
enclosed with wire fencing. If Jesse has 700 feet of fencing, what
dimensions would maximize the area of the pen?
a) Let w be the length of the pen perpendicular to the barn. Write
an equation to model the area of the pen in terms of w
Area =
b) What width w would...

A rectangular field is to be enclosed on four sides with a
fence. Fencing costs $4 per foot for two opposite sides, and $8 per
foot for the other two sides. Find the dimensions of the field of
area 880 ft 2 that would be the cheapest to enclose.

A rectangular field is to be enclosed on 4 sides with a fence
with an area of 690 ft². Fencing costs $2 per foot for 2 opposite
sides and $7 per foot for the other 2 sides. The equations for this
question are:
Constraint: xy = 690
Objective: Perimeter (Cost) = 14x + 4y
Find the following:
a) The dimensions that will minimize the cost. Round the
dimensions to 1 decimal place. You may use the rounded dimension to
find...

A rancher plans to construct a rectangular pen for a cow with an
area of 20 square feet.
Three sides of the pen will be constructed from fencing that costs
$20 per foot of length and the
remaining side will be a stone wall that costs $52 per foot of
length. Find the minimum cost to build
this pen.

Solve the problem.
A rectangular field is to be enclosed on four sides with a fence.
Fencing costs $2 per foot for two opposite sides, and $7 per foot
for the other two sides. Find the dimensions of the field of area
610 ft2 that would be the cheapest to enclose.

A rectangular field is to be enclosed on four sides with a
fence. Fencing costs $8 per foot for two opposite sides, and $3 per
foot for the other two sides. Find the dimensions of the field of
area 870 ft2 that would be the cheapest to enclose.
A) 11.1 ft @ $8 by 78.7 ft @ $3
B) 18.1 ft @ $8 by 48.2 ft @ $3
C) 78.7 ft @ $8 by 11.1 ft @ $3
D) 48.2...

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
fence is to be built to enclose a rectangular area of 800 square
feet. The fence along three sides is to be made of material that
costs $6 per foot. The material for the fourth side costs $18 per
foot. Find the dimensions of the rectangle that will allow for the
most economical fence to be built?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago