Question
In: Math
A rectangle storage container with an open top should have a volume of 33 meters^3. The...
A rectangle storage container with an open top should have a volume of 33 meters^3. The length of its base is 2 times the width. Material costs for the base are $10/meter^2 and the material costs for the sides are $22/meter^2. Optimize the costs of materials (hint minimum cost we are not trying to sell it).
Solutions
milcah answered 2 years agoRelated Solutions
A rectangular storage container with an open top is to have a volume of 16 cubic...
A rectangular storage container with an open top is to have a
volume of 16 cubic meters. The length of its base is twice the
width. Material for the base costs 15 dollars per square meter.
Material for the sides costs 6 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 14 cubic...
A rectangular storage container with an open top is to have a
volume of 14 cubic meters. The length of its base is twice the
width. Material for the base costs 14 dollars per square meter.
Material for the sides costs 7 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 10 m3....
A rectangular storage container with an open top is to have a
volume of 10 m3. The length of this base is twice the
width. Material for the base costs $10 per square meter. Material
for the sides costs $6 per square meter. Find the cost of materials
for the cheapest such container. (Round your answer to the nearest
cent.)
A rectangular storage container with an open top is to have a volume of 20 cubic...
A rectangular storage container with an open top is to have a
volume of 20 cubic meters. The length of its base is twice the
width. Material for the base costs 14 dollars per square meter.
Material for the sides costs 7 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 9826 cubic...
A rectangular storage container with an open top is to have a
volume of 9826 cubic meters. The length of its base is twice the
width. Material for the base costs 12 dollars per square meter.
Material for the sides costs 8 dollars per square meter. Find the
cost of materials for the cheapest such container.
A rectangular storage container with an open top is to have a volume of 22 cubic...
A rectangular storage container with an open top is to have a
volume of 22 cubic meters. The length of its base is twice the
width. Material for the base costs 11 dollars per square meter.
Material for the sides costs 6 dollars per square meter. Find the
cost of materials for the cheapest such container.
Total cost = (?)
(Round to the nearest penny and include monetary units. For
example, if your answer is 1.095, enter $1.10 including the...
A rectangular storage container with an open top is to have a volume of 8 m3....
A rectangular storage container with an open top is to have a
volume of 8 m3. The length of this base is twice the width.
Material for the base costs $6 per square meter. Material for the
sides costs $10 per square meter. Find the cost of materials for
the cheapest such container. (Round your answer to the nearest
cent.)
An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height)...
An open-top cylindrical container is to have a volume of 729
cm3. What dimensions(radius and height) will minimize
the surface area?
A box with a square base and open top must have a volume of 32000 cm^3....
A box with a square base and open top must have a volume of
32000 cm^3. Find the dimension of the box that minimize the amount
of material used. (show all work)
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...
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