19. (13.9) An open rectangular box is to be con- structed with a volume of 8 cubic feet. If the m...
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 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.
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? $______
(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 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
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.)
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...
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 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.