8. Find the maximum volume of the rectangular box with square ends and no top that...
A square bottomed, open top box is to be constructed to contain a volume of 500cm'. The material for the bottom of the box costs $0.08/cm2 and the material for the four sides costs $0.03/cm2. In this problem you will compute the minimum cost box that can be constructed subject to our constraint. Use r for the length of the sides of the bottom of the box and y for the height of the box.
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...
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=?...
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?
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2 1200 2of material in available to smake a rectangular box with ae se and open...
A rectangular box with a volume of 272 P13 is to be constructed with a square base and top. The cost per square foot for the bottom is 15€, for the top is 104, and for the sides is 2.54. What dimensions will minimize the cost? y What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)
A box with an open top is to be constructed from a 8m x 3m rectangular metal sheet, by cutting out ase Question 16 rom each of the four corners and bending up the sides. Find the AREA of a square corner that must be con open box to attain maximum volume. ma m2
A shipping carton is a rectangular box with square ends. If the square ends have sides of length x and the overall length of the box is L, a formula for the total area A (of the six sides) of the surface is shown below. A = 2x² + 4xL Find the total surface area if x = 2.99 ft and L = 5.08 ft.
If 10,800 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
If 1500 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.Volume =