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(1 point) Find the most economical dimensions of a closed rectangular box of volume 9 cubic units if the cost of the ma...
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...
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?
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 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 is to have a volume of 20 cubic metres. The mate-rial used for...
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
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
(1 point) You must design a closed rectangular box of width w, length 1 and height...
(1 point) You must design a closed rectangular box of width w, length 1 and height h, whose volume is 530 cm . The sides of the box cost 3 cents/cm2 and the top and bottom cost 5 cents/cm². Find the dimensions of the box that minimize the total cost of the materials used. dimensions = (Enter your answer as a comma separated list of lengths, which will be interpreted as being in centimeters.)
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a...
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2
1200 2of material in available to smake a rectangular box with ae se and open...
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
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of...
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 54 ft3. If the material for the base costs $0.22/ft2, the material for the sides costs $0.09/ft2, and the material for the top costs $0.14/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y. x=?...
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...
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.)
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
(1 point) You must design a closed rectangular box of width w, length 1 and height h, whose volume is 530 cm . The sides of the box cost 3 cents/cm2 and the top and bottom cost 5 cents/cm². Find the dimensions of the box that minimize the total cost of the materials used. dimensions = (Enter your answer as a comma separated list of lengths, which will be interpreted as being in centimeters.)
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2
1200 2of material in available to smake a rectangular box with ae se and open...
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
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