The sides of the box shown are labeled with the dimensions in feet. What is the...
19. (13.9) An open rectangular box is to be con- structed with a volume of 8 cubic feet. If the material for the bottom of the box costs twice as much as the material for the sides, what dimensions should the box have so as to minimize the cost? 19. (13.9) An open rectangular box is to be con- structed with a volume of 8 cubic feet. If the material for the bottom of the box costs twice as much...
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?
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.
This box is to be constructed with a total volume of 1280cm3, but the sides have different costs. The top, bottom, left and right sides cost $2/cm2, but the front and the back cost $5/cm2. What are the dimensions of the box that have the correct volume, but minimize the cost?
A dumpster is being manufactored with volume of 350 cubic feet. It costs $1.25 for the bottom per square feet and $0.75 for the sides per square feet. 1. what dimensions will minimize the cost? 2. what is the minimum cost? $______
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...
The Box Problem Take an 8% x 11 sheet of paper and cut out 4 congruent squares (one from each corner) as shown below on the left. This creates a net for an open-topped box (rectangular prism) which can be folded up as shown on the right. We're going to use our box to carry as many M & M's as possible. If the side-length of each cut-out square is 1 inch, then the box created will have dimensions 1...
a box has a width of 3 feet. the height is unknown, but you know the length is 4 feet more than the height. the volume of the box is 135 cubic feet. find the box’s height
(1 point) Find the most economical dimensions of a closed rectangular box of volume 9 cubic units if the cost of the material per square unit for () the top and bottom is 7, (ii) the front and back is 3 and (ii) the other two sides is 8 Vertical edge length - Horizontal front and back edge length- Horizontal side edge length (1 point) Find the most economical dimensions of a closed rectangular box of volume 9 cubic units...
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 126.75 cubic inches, what size square piece of cardboard is needed?