Question

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.

Answer #1

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 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...

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 fence must be built to enclose a rectangular area of
20,000ft2. Fencing material costs $1 per foot for the
two sides facing north and south and $2 per foot for the other two
sides. Find the cost of the least expensive fence.
The cost of the least expensive fence is $____.

A
fence must be built to enclose a rectangular area of 5000 ft^2.
Fencing material costs $4 per foot for the two sides facing north
and south and $8 per foot for the other two sides. Find the cost of
the least expensive fence.
The cost of the least expensive fence is $_

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 fence must be built to enclose a rectangular area of 140,000
m2. Fencing material costs $7 per metre for the two
sides facing north and south, and $4 per metre for the other two
sides. Find the cost of the least expensive fence. Justify your
result.

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!

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?

A fence is to be built to enclose a rectangular area of
18001800
square feet. The fence along three sides is to be made of
material that costs
$44
per foot. The material for the fourth side costs
$1212
per foot. Find the dimensions of the rectangle that will allow
for the most economical fence to be built.

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