Question

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

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

if satisfied with the explanation, please rate it up..

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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...
We wish to build a rectangular pen. Three of the sides will be made from standard...
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:
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...
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 rectangular field with one side along a river is to be fenced. Suppose that no...
A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along the river, the fence on the side opposite the river costs $40 per foot, and the fence on the other sides costs $10 per foot. If the field must contain 72,200 square feet, what dimensions will minimize costs? side parallel to the river     ft each of the other sides     ft
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?
(Optimization) A rectangular field is to be fenced off along a river where no fence is...
(Optimization) A rectangular field is to be fenced off along a river where no fence is needed on the side along the river. If the fence for the two ends costs $12/ft and the fence for the side parallel to the river is $18/ft. Determine the dimensions of the field that can be enclosed with the largest possible area. Total funds available for fencing: $5,400
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 farmer needs to enclose three sides of a pasture with a fence (the fourth side...
A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a cliff wall). The farmer has 40 meters of fence and wants the pasture to have an area of 198 sq-meters. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as...
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT