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2. An open box with a square base is to be built at a cost of...
2. An open box with a square base is to be built at a cost of $24. The sides of the box will cost $2 per square foot, and the base will cost $4 per square foot. Express the volume of the box as a function of the leneth of its hase.
QUESTION 2 p. A closed triangular box with a volume of 16 f' is made from two kinds of materials. The top and bo...
QUESTION 2 p. A closed triangular box with a volume of 16 f' is made from two kinds of materials. The top and bottom are made of material costing RM 10 per square foot and the sides of material costing RM 5 per square foot. Using Second Partial Test, find the dimensions of the box so that the cost of materials is minimized. (8 marks)
QUESTION 2 p. A closed triangular box with a volume of 16 f' is made...
ul for t. Fin A storage shed is to be built in the shape of a...
ul for t. Fin A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 567 cubic feet. The concrete for the base costs $4 per square foot, the material for the roof costs $3 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed. use. It i materi are foot The length of one...
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
6. A rectangular box with an open top is being constructed so that its base is...
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...
(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...
A closed rectangular box with a volume of 1611 is made from two kinds of materials....
A closed rectangular box with a volume of 1611 is made from two kinds of materials. The top and bottom are made of material conting 24 cents per square foot and the wes from material conting 12 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 s1 W= 10
(1 point) Find the most economical dimensions of a closed rectangular box of volume 9 cubic units if the cost of the ma...
(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 box with an open top has a length of x centimeters, width of y centimeters,...
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...
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.)
2. An open box with a square base is to be built at a cost of $24. The sides of the box will cost $2 per square foot, and the base will cost $4 per square foot. Express the volume of the box as a function of the leneth of its hase.
QUESTION 2 p. A closed triangular box with a volume of 16 f' is made from two kinds of materials. The top and bottom are made of material costing RM 10 per square foot and the sides of material costing RM 5 per square foot. Using Second Partial Test, find the dimensions of the box so that the cost of materials is minimized. (8 marks)
QUESTION 2 p. A closed triangular box with a volume of 16 f' is made...
ul for t. Fin A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 567 cubic feet. The concrete for the base costs $4 per square foot, the material for the roof costs $3 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed. use. It i materi are foot The length of one...
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
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...
A closed rectangular box with a volume of 1611 is made from two kinds of materials. The top and bottom are made of material conting 24 cents per square foot and the wes from material conting 12 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 s1 W= 10
(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 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...
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.)
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