Question

A pencil cup with a capacity of 16 in.3 is to be constructed in the shape...

A pencil cup with a capacity of 16 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 14¢/in.2 and the material for the base costs 56¢/in.2, what should the dimensions of the cup be to minimize the construction cost?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

PLEASE LIKE IT RAISE YOUR THUMBS UP

IF YOU ARE HAVING ANY DOUBT FEEL FREE TO ASK IN COMMENT SECTION

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 pencil cup with a capacity of 48 in^3 is to be constructed in the shape...
A pencil cup with a capacity of 48 in^3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 40¢/in^2 and the material for the base costs 60¢/in.^2, what should the dimensions of the cup be to minimize the construction cost? A pencil cup is in the shape of a rectangular box with a square base and an open top. height ____ in length...
A pencil cup with a capacity of 20 in.3 is to be constructed in the shape...
A pencil cup with a capacity of 20 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 10¢/in.2 and the material for the base costs 50¢/in.2, what should the dimensions of the cup be to minimize the construction cost?
Minimizing Costs A pencil cup with a capacity of 45 in.^3 is to be constructed in...
Minimizing Costs A pencil cup with a capacity of 45 in.^3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 27¢/in.^2 and the material for the base costs 90¢/in.^2, what should the dimensions of the cup be to minimize the construction cost? A pencil cup is in the shape of a rectangular box with a square base and an open top. height length...
Find the dimensions and volume of the box of maximum volume that can be constructed. The...
Find the dimensions and volume of the box of maximum volume that can be constructed. The rectangular box having a top and a square base is to be constructed at a cost of $4. If the material for the bottom costs $0.10 per square foot, the material for the top costs $0.35 per square foot, and the material for the sides costs $0.25 per square foot,
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. To minimize the cost of the package: Radius:   Height: Minimum 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 microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold...
A microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimensions for the package that will minimize production cost: radius, height, and minimum cost
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?
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