Question

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.

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 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 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 microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 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 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V=πr2hV=πr2h...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 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 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V...
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The...
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r : radius of can Volume of a cylinder: V=πr2^h Area of...
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?
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?
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...
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