Question
In: Math
A rectangular box with a square base is to be constructed from material that costs $6/ft2...
A rectangular box with a square base is to be constructed from material that costs $6/ft2 for the bottom, $14/ft2 for the top, and $5/ft2 for the sides. Find the greatest volume of the box if it costs $240.
Solutions
milcah answered 1 year agoRelated Solutions
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...
An open-top rectangular box is to be constructed with 300 in2 of material. If the bottom...
An open-top rectangular box is to be constructed with 300 in2 of
material. If the bottom of the box forms a square, what is the
largest possible box, in terms of volume, that can be
constructed?
A rectangular box is to have a square base and a volume of 40 ft3. If...
A rectangular box is to have a square base and a volume of 40
ft3. If the material for the base costs $0.35 per square
foot, the material for the sides costs $0.05 per square foot, and
the material for the top costs $0.15 per square foot, determine the
dimensions of the box that can be constructed at minimum cost.
= Length
Width
Height
how do i find length width and height
Suppose a tin box is to be constructed with a square base, an open top and...
Suppose a tin box is to be constructed with a square base, an
open top and a volume of 32 cubic inches. The cost of the tin to
construct the box is $0.15 per square inch for the sides and $0.30
per square inch for the base.
The minimized cost of the tin box is:
A. $3.50
B. $$4.82
C. none of the answers
D. $9.07
E. $$\$0$$
A rectangular box with a square base and an open top and a volume of 1ft^3...
A rectangular box with a square base and an open top and a
volume of 1ft^3 is to be made. Suppose the material used to build
the sides cost $4 per ft^2 and the material used to build the
bottom costs $1 per ft^2. Determine the dimensions (i.e. the
side-length of the base and the height) of the box that will
minimize the cost to build the box.
Note: if we let x denote the side-length of the base and...
An open-top rectangular box is being constructed to hold a volume of 400 in3. The base...
An open-top rectangular box is being constructed to hold a
volume of 400 in3. The base of the box is made from a
material costing 7 cents/in2. The front of the box must
be decorated, and will cost 10 cents/in2. The remainder
of the sides will cost 2 cents/in2.
Find the dimensions that will minimize the cost of constructing
this box.
Front width:
Depth:
Height:
A company plans to design an open top rectangular box with square base having volume 4...
A company plans to design an open top rectangular box with
square base having volume 4 cubic inches. Find the dimension of the
box so that the amount of materiel required for construction is
minimal.
(a) Find the dimension of the box so that the amount of materiel
required for construction is minimized.
(b) What is the minimized material required for the
construction?
A box with an open top is to be constructed out of a rectangular piece of...
A box with an open top is to be constructed out of a rectangular
piece of cardboard with dimensions length=10 ft and width=11 ft by
cutting a square piece out of each corner and turning the sides up.
Determine the length x of each side of the square that
should be cut which would maximize the volume of the box.
Write The MATLAB SCRIPT for: An open-top box is constructed from a rectangular piece of sheet...
Write The MATLAB SCRIPT for:
An open-top box is constructed from a rectangular piece of sheet
metal measuring 10 by 16 inches. Square of what size (accurate to
10-9 inch) should be cut from the corners if the volume
of the box is to be 100 cubic inches?
Notes: to roughly estimate the locations of the
roots of the equation and then approximate the roots to this
equation using Newton Iteration
method.
Please don't give me the Matlab Commands for...
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