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(1 point) A rectangular storage container with an open top is to have a...
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 $15 per square meter. Material for the sides costs $9 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)
(15 points - 3 points each) A rectangular storage container with open top is designed to...
(15 points - 3 points each) A rectangular storage container with open top is designed to have a volume of 10 cubic meters. The length of its base is twice its width. Assume the material for the base costs 10 dollars per square meter, and the sides 6 dollars per square meter. Assume also you wish to minimize the cost of a container of that volume. (a) Draw a sketch of the situation. (b) Write down the function to be...
solve with step please :) 7. (5 points) A rectangular storage container storage container with an...
solve with step please :)
7. (5 points) A rectangular storage container storage container with an open top is to have a volume of 10 m. The length of its base is twice the width. Material for the base costs $10 per square meter. Material for the sides st $6 per square meter. Find the cost of materials for the cheapest such container. Note: If we let 1, b denote the length and breadth of the base and let h...
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 trash company is designing an open-top, rectangular container that will have a volume of 1715...
A trash company is designing an open-top, rectangular container that will have a volume of 1715 ft. The cost of making the bottom of the container is $5 per square foot, and the cost of the sides is $4 per square foot. Find the dimensions of the container that will minimize total cost. LxWxH=ftxfxft
A trash company is designing an open-top, rectangular container that will have a volume of 320...
A trash company is designing an open-top, rectangular container that will have a volume of 320 ft cubed. The cost of making the bottom of the container is $5 per square foot, and the cost of the sides is $4 per square foot. Find the dimensions of the container that will minimize total cost. Find LxWxH.
A rectangular tank with a square base and no top is to have a volume of...
A rectangular tank with a square base and no top is to have a volume of 10 m3 . Material for the bottom of the tank costs $15/m2 and material for the sides costs $6/m2 a. Find the dimensions of the cheapest such tank that can be constructed. b. How much would the tank in part a. cost to build?
A rectangular box is to have a volume of 20 cubic metres. The mate-rial used for...
A rectangular box is to have a volume of 20 cubic metres. The mate-rial used for the sides costs $1 per square metre, the material for thebottom costs $2 per square metre, and the material for the top costs$3 per square metre. What are the dimensions of the cheapest box? Using Multivariable Calculus/Second Derivative Test/Hessian Matrix xyz=20
Problem 2 A company needs to order the material needed for constructing rectangular crates. The sides of these crat...
Problem 2 A company needs to order the material needed for constructing rectangular crates. The sides of these crates need to be a wire fencing material that can only be cut into whole number lengths and widths in order to properly assemble the crate. The crate is the shape of a right-rectangular prism. The sides of these crates are wire fencing that costs $5 or $6 per square foot (choose one). The top of these crates are made of hardwood...
A box with an open top has a length of x centimeters, width of y centimeters,...
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
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 $15 per square meter. Material for the sides costs $9 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)
(15 points - 3 points each) A rectangular storage container with open top is designed to have a volume of 10 cubic meters. The length of its base is twice its width. Assume the material for the base costs 10 dollars per square meter, and the sides 6 dollars per square meter. Assume also you wish to minimize the cost of a container of that volume. (a) Draw a sketch of the situation. (b) Write down the function to be...
solve with step please :)
7. (5 points) A rectangular storage container storage container with an open top is to have a volume of 10 m. The length of its base is twice the width. Material for the base costs $10 per square meter. Material for the sides st $6 per square meter. Find the cost of materials for the cheapest such container. Note: If we let 1, b denote the length and breadth of the base and let h...
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 trash company is designing an open-top, rectangular container that will have a volume of 1715 ft. The cost of making the bottom of the container is $5 per square foot, and the cost of the sides is $4 per square foot. Find the dimensions of the container that will minimize total cost. LxWxH=ftxfxft
Problem 2 A company needs to order the material needed for constructing rectangular crates. The sides of these crates need to be a wire fencing material that can only be cut into whole number lengths and widths in order to properly assemble the crate. The crate is the shape of a right-rectangular prism. The sides of these crates are wire fencing that costs $5 or $6 per square foot (choose one). The top of these crates are made of hardwood...
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
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