An open box is to be constructed so that the length of the base is 4...
A rectangular box with a volume of 320 cubic feet is to be constructed with a square base and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents and for the sides is 2.5 cents. What dimensions will minimize the cost?
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.)
3) You are constructing a 12 cubic feet box that is open at the top. The material used to construct the bottom costs $3 per square foot and the material used to construct the sides is $1 per square foot. What dimensions should you use to minimize the cost of the materials? Set up and solve using the LaGrange method.
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...
1. A box with a square base and an open top is being constructed from 1200 m² of material. Determine the dimensions of the box that will maximize the volume of the box. Briefly show that your answer gives a maximum. Dimensions (Length x Width x Height):
6. A rectangular box with an open top is being constructed so that its base is twice as long as it is wide. In addition, the base of the box cost $2 per square foot while the sides cost $1.50 per square foot. We only want to spend $16 on materials for the box. a. Draw a labeled diagram that represents the situation using relevant variables. b. Write a formula for the box's surface area, A, in terms of only...
(1 point) Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size. The wall materials cost $55 per linear foot and your company has allocated $52800 for those walls. 1) The dimensions which use all of the budget and maximize total area are length L= (include units in this answer) width W= (units needed here too) 2) Each of the three (equal size) compartments has area (include units) A box is contructed out...
An open box is to be constructed from a square piece of sheet metal by removing a square of side 5 feet from each corner and turning up the edges. If the box is to hold 720 cubic feet, what should be the dimensions of the sheet metal? What is the length of a side of the square piece of sheet metal? feet
A box with an open top has a square base and four sides of equal height. The volume of the box is 972 ftcubed. The height is 3ft greater than both the length and the width. If the surface area is 513ft squared,what are the dimensions 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...