Question

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 $_
Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

In this question first we find the cost function and then find its derivative and equate it to zero to find the least cost. Hope you understand the solution.

Please like

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 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 $____.
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 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 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 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 fence is to be built to enclose a rectangular area of 270 square feet. The...
A fence is to be built to enclose a rectangular area of 270 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
A fence is to be built to enclose a rectangular area of 280 square feet. The...
A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the length LL and width WW (with W≤LW≤L) of the enclosure that is most economical to construct.
1) Let f(x)=−x^3−12x^2−45x+2 a) Find the open interval(s) where the following function is concave upward or...
1) Let f(x)=−x^3−12x^2−45x+2 a) Find the open interval(s) where the following function is concave upward or concave downward. b)Find any inflection point(s). c) Find absolute maximum and minimum values on [-5,5]. 2) A fence must be built to enclose a rectangular area of 20,000 square feet. Fencing material costs $ 2.50 per foot for the two sides facing north and south and $3.20 per foot for the other two sides. Find the cost of the least expensive fence.
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