Question

Jesse wants to build a rectangular pen for his animals. One side of the pen will...

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 maximize the area?

w =

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
Ben wants to build a rectangular enclosure for his animals. One side of the pen will...
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...
1. A rectangular pen is built with one side against a barn. If 600 m of...
1. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the other three sides of the pen, complete the following to find the dimensions that maximize the area of the pen. True or False: the objective function is the perimeter function, P=2x+y 2. Let A be the area of the rectangular pen and let x be the length of the sides perpendicular to the barn. Write the objective function in...
A farmer needs to build a rectangular pen with one side bordered by a river (that...
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
You want to form a rectangular pen of area, a = 60 ft2 (see the figure...
You want to form a rectangular pen of area, a = 60 ft2 (see the figure below). One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the width of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is L = 60/w. The total amount of fence required is the function F = 2w +...
A rancher plans to construct a rectangular pen for a cow with an area of 20...
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.
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...
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 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 homeowner wants to create an enclosed rectangular patio area behind their home. They have 168...
A homeowner wants to create an enclosed rectangular patio area behind their home. They have 168 feet of fencing to use, and the side touching the home does not need fence. What should the dimensions of the patio be to enclose the largest area possible?
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...