Question

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
Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
(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 was told by the municipality to enclose a field by a river to keep...
A farmer was told by the municipality to enclose a field by a river to keep his animals out of the water. He decides to enclose a rectangular field as show below. The fence on the river side cost $30 per foot all other side cost $6 dollars per foot If he must enclose 145200 square feet, what values of x and y will minimize the cost?
A rectangular field is to be enclosed on four sides with a fence. Fencing costs $4...
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 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 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
A rectangular field is to be enclosed on 4 sides with a fence with an area...
A rectangular field is to be enclosed on 4 sides with a fence with an area of 690 ft². Fencing costs $2 per foot for 2 opposite sides and $7 per foot for the other 2 sides. The equations for this question are: Constraint: xy = 690 Objective: Perimeter (Cost) = 14x + 4y Find the following: a) The dimensions that will minimize the cost. Round the dimensions to 1 decimal place. You may use the rounded dimension to find...
A rancher wants to fence in an area of 2000000 square feet in a rectangular field...
A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. Suppose that that the fence for the outer part of the rectangle costs $7 per foot, while the cost of the “dividing” fence down the middle costs $4 per foot. What is the least amount of money the rancher can spend on the fence, and what dimensions for...
A fence is to be built to enclose a rectangular area of 800 square feet. The...
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...
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.
A rectangular field is to be enclosed on four sides with a fence. Fencing costs $8...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT