Question

A rectangular box with a volume of 272 P13 is to be constructed with a square base and top. The cost per square foot for the
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Constraint : Volume = length x width a height * * * x 4 = 272 ft² y = 272 O x² Minimize : cost C = 15 [ Bottom corea] + 10 Co

Add a comment
Know the answer?
Add Answer to:
A rectangular box with a volume of 272 P13 is to be constructed with a square...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A rectangular box with a volume of 320 cubic feet is to be constructed with a...

    A rectangular box with a volume of 320 cubic feet is to be constructed with a square base and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents and for the sides is 2.5 cents. What dimensions will minimize the cost?

  • 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 54 ft3. If the material for the base costs $0.22/ft2, the material for the sides costs $0.09/ft2, and the material for the top costs $0.14/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 square bottomed, open top box is to be constructed to contain a volume of 500cm'....

    A square bottomed, open top box is to be constructed to contain a volume of 500cm'. The material for the bottom of the box costs $0.08/cm2 and the material for the four sides costs $0.03/cm2. In this problem you will compute the minimum cost box that can be constructed subject to our constraint. Use r for the length of the sides of the bottom of the box and y for the height of the box.

  • An open box is to be constructed so that the length of the base is 4...

    An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...

  • A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed o...

    A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...

  • A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimension...

    A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the cost of the box if the material of the bottom costs 16 cents per square inch, and the material of the sides costs 1 cent per square inch. A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the...

  • A shipping company must design a closed rectangular shipping crate with a square base. The volume...

    A shipping company must design a closed rectangular shipping crate with a square base. The volume is 29376 ft. The material for the top and sides costs $4 per square foot and the material for the bottom costs $13 per square foot. Find the dimensions of the crate that will minimize the total cost of material Answer 4 Points Keypad It by It by

  • (1 point) Your task is to design a rectangular industrial warehouse consisting of three separate spaces...

    (1 point) Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size. The wall materials cost $55 per linear foot and your company has allocated $52800 for those walls. 1) The dimensions which use all of the budget and maximize total area are length L= (include units in this answer) width W= (units needed here too) 2) Each of the three (equal size) compartments has area (include units) A box is contructed out...

  • A shipping company must design a closed rectangular shipping crate with a square base. The volume...

    A shipping company must design a closed rectangular shipping crate with a square base. The volume is 8748 ft". The material for the top and sides costs $3 per square foot and the material for the bottom costs $6 per square foot. Find the dimensions of the crate that will minimize the total cost of material. Answer 7 Points Keypad Keyboard Shortcuts ft by ft by ft

  • This box is to be constructed with a total volume of 1280cm3, but the sides have...

    This box is to be constructed with a total volume of 1280cm3, but the sides have different costs. The top, bottom, left and right sides cost $2/cm2, but the front and the back cost $5/cm2. What are the dimensions of the box that have the correct volume, but minimize the cost?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT