Question

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.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #2

answered by: anonymous
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 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.
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 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
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic feet. 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 Find the critical number of the cost function.
A box with square base and open top is to have a volume of 10?3 ....
A box with square base and open top is to have a volume of 10?3 . Material for the base costs $10 per square meter and material for the sides costs $8 per square meter. Determine the dimensions of the cheapest such container. Use the first or second derivative test to verify that your answer is a minimum.
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.
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 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.
a closed rectangular container with a square base is to have a volume of 2400 cubic...
a closed rectangular container with a square base is to have a volume of 2400 cubic cm. it costs three times as much per square cm for the top and bottom as it does for for the side. find the dimensions of the container of least cost.
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 $0.17/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.13/ft2, (a) determine the dimensions (in ft) of the box that can be constructed at minimum cost. (b) Which theorem did you use to find the answer?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT