Question

A box of volume 36 m3 with square bottom and no top is constructed out of...

A box of volume 36 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $40/m2 and the cost of the sides is $30/m2 . Find the dimensions of the box that minimize total cost. (Let s denote the length of the side of the square bottom of the box and h denote the height of the box.)

(s, h) =

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 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=?
You need a box with a volume of 1000cm3. The top and the bottom of the...
You need a box with a volume of 1000cm3. The top and the bottom of the box are square and each cost $.20 per square centimeter, whereas the sides each cost $.05 per square centimeter. What are the dimensions of the box that will minimize the cost?
A box is constructed out of two different types of metal. The metal for the top...
A box is constructed 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 $6 per square foot. Find the dimensions that minimize cost if the box has a volume of 15 cubic feet. Length of base x= ___Height of side z=___ The manager of a large apartment complex knows from experience that 80 units will be occupied if the...
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
Problem: A box with an open top is to be constructed from a square piece of...
Problem: A box with an open top is to be constructed from a square piece of cardboard, with sides 6 meters in length, by cutting a square from each of the four corners and bending up the sides. Find the dimensions that maximize the volume of the box and the maximum volume.
Find the dimensions and volume of the box of maximum volume that can be constructed. The...
Find the dimensions and volume of the box of maximum volume that can be constructed. The rectangular box having a top and a square base is to be constructed at a cost of $4. If the material for the bottom costs $0.10 per square foot, the material for the top costs $0.35 per square foot, and the material for the sides costs $0.25 per square foot,
The volume of a square-based rectangular box is 252 dm^3. The construction cost of the bottom...
The volume of a square-based rectangular box is 252 dm^3. The construction cost of the bottom is $5.00 per dm^2. of the top is $2.00 per dm^2 and of the sides is $3.00 per dm^2. Find the dimensions that will minimize the cost if the side of the base must fall between 4 dm and 8 dm.
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base...
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base of the box is made from a material costing 8 cents/in2. The front of the box must be decorated, and will cost 12 cents/in2. The remainder of the sides will cost 2 cents/in2. Find the dimensions that will minimize the cost of constructing this box. Front width: _______ in. Depth: ________ in. Height: ________ in.
An open-topped box is to have a square base and a volume of 10 ?3. The...
An open-topped box is to have a square base and a volume of 10 ?3. The cost per square meter of material is $5 for the bottom and $2 for the four sides. Let ? be the length of the base of the box and ℎ be the height of the box. Let ? be the total cost of material required to make the box. a. Express ? as a function of ? and find its domain. b. Find the...
A rectangular box with a square base has a volume of 4 cubic feet. If x...
A rectangular box with a square base has a volume of 4 cubic feet. If x is the side length of the square base, and y is the height of the box, find the total cost of the box as a function of one variable The material for the bottom of the box costs $3 per square foot, the top costs $2 per square foot, and the four sides cost $5 per square foot. If x is the side length...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT