Question

A farmer wants to fence in a rectangular plot of land adjacent to his barn. No...

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?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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?