Question

An open$top aquarium is have a rectangular base that is three times as long as it...

An open$top aquarium is have a rectangular base that is three times as long as it is wide. The sides of the aquarium are made of glass that costs $10 per square foot and the material for the bottom costs $8 per square foot. Assuming that the cost of the aquarium materials cannot exceed $200, determine the dimensions of the aquarium with the greatest volume.


Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 10 ft3 capacity rectangular box with open top is to be constructed so that the...
A 10 ft3 capacity rectangular box with open top is to be constructed so that the length of the base of the box will be twice as long as its width. The material for the bottom of the box costs 20 cents per square foot and the material for the sides of the box costs 10 cents per square foot. Find the dimensions of the least expensive box that can be constructed.
A rectangular storage container with an open top and a square base is to be constructed....
A rectangular storage container with an open top and a square base is to be constructed. Material for the bottom costs $6/sq-ft, and material for the sides costs $3/sq-ft. If a total of $72 is budgeted for material expenses, what are the dimensions of the container that holds the largest volume?
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 rectangular storage container with an open top is to have a volume of 10 m3....
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base...
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 company is designing an aquarium in the shape of a vertical cylinder for a client....
A company is designing an aquarium in the shape of a vertical cylinder for a client. It will have a round base made of slate, the curved sides are made of plexiglass, and the round top is glass. The tank must hold 24 cubic feet (about 180 gallons) of water. Plexiglass costs $8 per square foot, slate costs $6 per square foot, and glass costs $4 per square foot. Find the dimensions (rounded to 2 decimal places) the company should...
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?
A rectangular storage container with an open top is to have a volume of 10 m³....
A rectangular storage container with an open top is to have a volume of 10 m³. The length of its base is twice the width. Material for the base costs $12 per square meter. Material for the sides costs $5 per square meter. Find the cost of materials for the cheapest such container. ​
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT