A rectangular box with a volume of 320 cubic feet is to be constructed with a...
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?
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A rectangular box with a volume of 320 cubic feet is to be
constructed with a...
A rectangular box with a volume of 272 P13 is to be constructed with a square...
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 rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimension...
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...
19. (13.9) An open rectangular box is to be con- structed with a volume of 8 cubic feet. If the m...
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 trash company is designing an open-top, rectangular container that will have a volume of 320...
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.
3) You are constructing a 12 cubic feet box that is open at the top. The...
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.
An open box is to be constructed so that the length of the base is 4...
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 cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The...
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r : radius of can Volume of a cylinder: V = arh...
Question 10 A closed rectangular box with a volume of 108ft is made from two kinds...
Question 10 A closed rectangular box with a volume of 108ft is made from two kinds of materials. The top and bottom are made of material costing 56 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w<l. 1 = ft W = ft h= ft
Question 10 A dosed rectangular box with a volume of 1626 is made from two kinds...
Question 10 A dosed rectangular box with a volume of 1626 is made from two kinds of materials. The top and bottom are made of material costing 48 cents per square foot and the sides from material costing 8 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w s I ft ft Question Attempts of I used SAVERS LATER MapleNet
A dumpster is being manufactored with volume of 350 cubic feet. It costs $1.25 for the...
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? $______
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 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...
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...
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.
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 cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r : radius of can Volume of a cylinder: V = arh...
Question 10 A closed rectangular box with a volume of 108ft is made from two kinds of materials. The top and bottom are made of material costing 56 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w<l. 1 = ft W = ft h= ft
Question 10 A dosed rectangular box with a volume of 1626 is made from two kinds of materials. The top and bottom are made of material costing 48 cents per square foot and the sides from material costing 8 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w s I ft ft Question Attempts of I used SAVERS LATER MapleNet
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