Question

Design a rectangular milk carton box of width w, length l, and height h which holds...

Design a rectangular milk carton box of width w, length l, and height h which holds 512 cm3 of milk. The sides of the box cost 1 cent/cm2 and the top and bottom cost 3 cent/cm2. Find the dimensions of the box that minimize the total cost of materials used.
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.
The length ℓ, width w, and height h of a box change with time. At a...
The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 2 m and w = h = 9 m, and ℓ and w are increasing at a rate of 7 m/s while h is decreasing at a rate of 8 m/s. At that instant find the rates at which the following quantities are changing. The length of a diagonal?
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
The length ℓ, width w, and height h of a rectangualr box (with a lid) change...
The length ℓ, width w, and height h of a rectangualr box (with a lid) change with time. At a certain instant the dimensions are ℓ = 7 m, w = 7 and h = 2 m, and ℓ and w are increasing at a rate of 8 m/s while h is decreasing at a rate of 8 m/s. Find the following Rate of change of h, with respect to time. Rate of change of surface area, with respect to...
A company wants to manufacture a rectangular planter box of volume 12 litres (12, 000 cm3...
A company wants to manufacture a rectangular planter box of volume 12 litres (12, 000 cm3 ). The box is open at the top and is designed to have its width equal to half of its length. The plastic used for the base of the box is stronger and costs 0.06 cents per cm2 while the plastic used for the sides of the box costs 0.04 cents per cm2. Find the length, width and height of the box for which...
A box of volume 36 m3 with square bottom and no top is constructed out of...
A box of volume 36 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $40/m2 and the cost of the sides is $30/m2 . Find the dimensions of the box that minimize total cost. (Let s denote the length of the side of the square bottom of the box and h denote the height of the box.) (s, h) =
box with rectangular base to be constucted material cost $4 /in^2 for the side & $5/in^2...
box with rectangular base to be constucted material cost $4 /in^2 for the side & $5/in^2 for top and bottom. if box is to have 90in^3 and the length of its base is 2X width, what are dimensions of box that would minimize cost of construction?
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 jewelry box with a square base is to be built with silver plated sides, nickel...
A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and top, and a volume of 28 cm3. If nickel plating costs $1 per cm2 and silver plating costs $12 per cm2, find the dimensions of the box to minimize the cost of the materials. (Use decimal notation. Give your answers to three decimal places.)
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base...
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base of the box is made from a material costing 8 cents/in2. The front of the box must be decorated, and will cost 12 cents/in2. The remainder of the sides will cost 2 cents/in2. Find the dimensions that will minimize the cost of constructing this box. Front width: _______ in. Depth: ________ in. Height: ________ in.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT