Question

For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 200 square feet. 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. What are the dimensions of the vegetable patch with the least expensive fence?

north and south sides fteast and west sides ft

Answer #1

For tax reasons, I need to create a rectangular vegetable patch
with an area of exactly 98 square feet. 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. What are the dimensions of the
vegetable patch with the least expensive fence?
north and south sides ft
east and west
sides ft

I would like to create 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 $128 for the project. What are the dimensions of
the vegetable patch with the largest area I can enclose?
north and south sides= ?
east and west sides = ?

I would like to create 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 $176 for the project. What are the dimensions of
the vegetable patch with the largest area I can enclose? HINT [See
Example 2.].
North East sides =
East and West sides =

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 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 $_

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 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 rectangular field is to have 100 m2 in area. It is
enclosed by a fence. The north-south sides costs $20/m, east-west
sides cost $5/m. What are the dimensions of this fence which
minimizes the total cost?

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.

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

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