Question

Show work, draw a picture, label your variables. (4pts) We want to construct a box whose...

Show work, draw a picture, label your variables. (4pts)
We want to construct a box whose base length is 4 times the base width. The material used to build the top and bottom cost $10 sq foot and material used to build the sides cost $6 sq foot. If the box must have a volume of 60 cubic feet, determine the dimensions that will minimize the cost to build the box and find the minimum cost box.
* Give your answer in exact form or round two decimal places.

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 carpenter wants to construct a closed-topped box whose base length is 2 times the base...
A carpenter wants to construct a closed-topped box whose base length is 2 times the base width. The wood used to build the top and bottom costs $7 per square foot, and the wood used to build the sides costs $6 per square foot. The box must have a volume of 12 cubic feet. What equation could be used to find the smallest possible cost for the box?
We have to build a box that has no top and whose base length is five...
We have to build a box that has no top and whose base length is five times the base width. we have $1000 to buy materials to build this box. if the material for the sides cost $10 per square inch and the material for the bottom cost $15 per square inch determine the dimensions of the box that will have the greatest volume.
We must build a crate with square top and bottom whose volume is 8000 cubic inches....
We must build a crate with square top and bottom whose volume is 8000 cubic inches. The material for the top and the bottom costs $0.09 per square inch; the material for the sides costs $0.05 per square inch. What (exact) dimensions minimize the total cost? What is the total cost (to the nearest cent)?
An open-top box has a square bottom and is made to have a volume of 50in^3....
An open-top box has a square bottom and is made to have a volume of 50in^3. The material for the base costs $10 a sq in and the material for the sides is $6 a sq in. What dimensions minimize cost
A box is contructed out of two different types of metal. The metal for the top...
A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost if the box has a volume of 25 cubic feet. Length of base x= Height of side z=?
A rectangular box is to have a square base and a volume of 48 ft3. If...
A rectangular box is to have a square base and a volume of 48 ft3. If the material for the base costs 4 cents per square foot, material for the top costs 20 cents per square foot, and the material for the sides costs 16 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.
A rectangular box is to have a square base and a volume of 45 ft3. If...
A rectangular box is to have a square base and a volume of 45 ft3. If the material for the base costs 14 cents per square foot, material for the top costs 6 cents per square foot, and the material for the sides costs 6 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and...
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $14/ft2 and the wood cost $5/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answe to the...
A cargo container in the shape of a rectangular box must have a volume of 480...
A cargo container in the shape of a rectangular box must have a volume of 480 cubic feet. If the bottom of the container costs $4 per square foot to construct, and the sides and top of the container cost $3 per square foot to construct, find the dimensions of the cheapest container which will have a volume of 480 cubic feet.
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and...
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $7/ft2 and the wood costs $4/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT