Question

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 ft @ $8 by 18.1 ft @ $3

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
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.
Solve the problem. A rectangular field is to be enclosed on four sides with a fence....
Solve the problem. A rectangular field is to be enclosed on four sides with a fence. Fencing costs $2 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 610 ft2 that would be the cheapest to enclose.
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 fence must be built to enclose a rectangular area of 5000 ft^2. Fencing material costs...
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 $_
A fence must be built to enclose a rectangular area of 20,000ft2. Fencing material costs $1...
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 $____.
(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 fence must be built to enclose a rectangular area of 140,000 m2. Fencing material costs...
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 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?
Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then...
Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting a fence across its middle. If each lot is to contain 2,700 square feet, what is the minimum amount of fence (in ft) needed to enclose the lots (include the fence across the middle)?
Use the method of Lagrange multipliers to solve this exercise. I want to fence in a...
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT