Question

Denali Dumpsters need to manufacture a dumpster with an open top and a total volume of...

Denali Dumpsters need to manufacture a dumpster with an open top and a total volume of 350 cubic feet. The material for the bottom costs $1.25 per square foot and the material for the sides cost $0.75 per square foot.

a) What dimensions will minimize the cost?

b.) What is the 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
A company plans to manufacture a rectangular box with a square base, an open top, and...
A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 404 cm3. The cost of the material for the base is 0.5 cents per square centimeter, and the cost of the material for the sides is 0.1 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost?
ASAP A company plans to manufacture a rectangular container with a square base, an open top,...
ASAP A company plans to manufacture a rectangular container with a square base, an open top, and a volume of 320 cm3. The cost of the material for the base is 0.8 cents per square centimeter, and the cost of the material for the sides is 0.2 cents per square centimeter. Determine the dimensions of the container that will minimize the cost of manufacturing it. What is the minimum cost?
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
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?
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 storage company must design a large rectangular container with a square base. The volume is...
A storage company must design a large rectangular container with a square base. The volume is 24576ft324576⁢ft3. The material for the top costs $12$⁢12 per square foot, the material for the sides costs $2$⁢2 per square foot, and the material for the bottom costs $12$⁢12 per square foot. Find the dimensions of the container that will minimize the total cost of material.
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.
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT