Question

A closed rectangular box is going to be built in such a way that its volume...

A closed rectangular box is going to be built in such a way that its volume corresponds to 6m3. The cost of the material for the top and bottom is $ 20 per square meter. The cost for the sides is $ 10 per square meter. What are the dimensions of the box that produce a minimum cost?
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
You have been asked to design a closed rectangular box that holds a volume of 25...
You have been asked to design a closed rectangular box that holds a volume of 25 cubic centimeters while minimizing the cost of materials, given that the material used for the top and bottom of the box cost 4 cents per square centimeter, and the material used for sides cost 9 cents per square centimeter. Find the dimensions of this box in terms of variables L, W, and H.
A closed box with a square base is to have a volume of 2000in2. The material...
A closed box with a square base is to have a volume of 2000in2. The material for the top and bottom of the box is to cost $6 per in2, and the material for the sides is to cost $3 per in2. If the cost of the material is to be the least, find the dimensions of the box. Prove/justify your answer.
A rectangular box is to have a square base and a volume of 16 ft3. If...
A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base costs $0.14/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.10/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y.
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of...
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.28/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.22/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y. x...
A rectangular box is to have a square base and a volume of 20 ft3. If...
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.37/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.13/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
A closed rectangular box is to contain 12 ft^3 . The top and bottom cost $3...
A closed rectangular box is to contain 12 ft^3 . The top and bottom cost $3 per square foot while the sides cost $2 per square foot. Find the dimensions of the box that will minimize the total cost.
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.
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,
A rectangular box must have a volume of 2 cubic meters. The material for the base...
A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 2 per square meter. The material for the vertical sides costs $ 8 per square meter. (a) Express the total cost of the box in terms of the length (l) and width (w) of the base. C = $ (b) Find the dimensions of the box that costs least. length = meters width = meters height = meters
We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The...
We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The material for the top costs 8 dollars per square foot, the material for the 4 sides costs 2 dollars per square foot, and the material for the bottom costs 7 dollars per square foot. To the nearest cent, what is the minimum cost for such a box?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT