a rectangular storage container with an open top is to have a volume of 10m^3. The length of it's base is twice the width. Material for the base costs $15 per m^2. Find the dimensions of the container which will minimize cost and the minimum cost.
What is base length? Base width? Height? Minimum cost?
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a rectangular storage container with an open top is to have a volume of 10m^3. The length of it's base is twice the width. Material for the base costs $15 per m^2. Find the dimensions of the container which will minimize cost and the minimum cost.
(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...
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.)
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
Need help (1 point) A rectangular storage container with an open top is to have a...
Need help
(1 point) A rectangular storage container with an open top is to have a volume of 22 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container. (Round to the nearest penny and include monetary units. For example, if your answer is 1.095, enter $1.10 including the...
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=?...
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal pl...
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height a eBook
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be...
A rectangular tank with a square base, an open top, and a volume of 864 n...
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
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...
All boxes with a square base, an open top, and a volume of 200 ftº have...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
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...
(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...
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.)
Need help
(1 point) A rectangular storage container with an open top is to have a volume of 22 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container. (Round to the nearest penny and include monetary units. For example, if your answer is 1.095, enter $1.10 including the...
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height a eBook
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be...
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
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...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
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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