Question

I have 24,000 dollars to build a fence. 3 sides of the fence cost 100 dollars a foot and 1 side of the fence costs 50 dollars a foot. What dimensions will give me the maximum area of fence I can build?

Answer #1

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

(1 point) A fence is to be built to enclose a rectangular area
of 210 square feet. The fence along three sides is to be made of
material that costs 5 dollars per foot, and the material for the
fourth side costs 13 dollars per foot. Find the dimensions of the
enclosure that is most economical to construct.
Dimensions: 19.45 x 10.80 <= I had this for answer and got it
wrong is the answer different?

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:

A fence is to be built to enclose a rectangular area of 270
square feet. The fence along three sides is to be made of material
that costs 6 dollars per foot, and the material for the fourth side
costs 13 dollars per foot. Find the dimensions of the enclosure
that is most economical to construct.

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...

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...

I want to build a rectangular fence against my house so I can
foster three
dogs (that don’t get along). I won’t need a fence against my house,
but I will need
two dividers of the same fencing material perpendicular to my house
so that my fence
encloses 3 regions each holding the same area. What is the maximum
area my entire
fence can enclose with a budget of $2400 if the fence costs $2/ft?
(Use calculus and
justify your...

Use the method of Lagrange multipliers to solve this
exercise.
I want to fence in a rectangular vegetable patch. The fencing
for the east and west sides costs $6 per foot, and the fencing for
the north and south sides costs only $3 per foot. I have a budget
of $120 for the project. What is the largest area I can
enclose?
Please find answer (show steps) and will rate!

Use the method of Lagrange multipliers to solve this exercise. I
want to fence in a rectangular vegetable patch. The fencing for the
east and west sides costs $4 per foot, and the fencing for the
north and south sides costs only $2 per foot. I have a budget of
$96 for the project.
What is the largest area I can enclose? ft2

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...

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