Question
A zoo supplier is building a glass-walled terrarium whose interior volume is to be 205.8 ft...
A zoo supplier is building a glass-walled terrarium whose interior volume is to be 205.8 ft cubed .205.8 ft3. Material costs per square foot are estimated as shown below.
Walls: $5.00
Floor: $3.00
Ceiling: $3.00
A rectangular solid has a base with two sides of length x and y and a height of length z. The base and the face opposite it are shaded.
What dimensions of the terrarium will minimize the total cost? What is the minimum cost?
x =?ft
y =?ft
z =?ft
The minimum cost of the terrarium is $?
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
A zoo supplier is building a glass-walled terrarium whose interior volume is to be 2048 ft3....
A zoo supplier is building a glass-walled
terrarium whose interior volume is to be 2048 ft3.
Material costs per square foot are estimated as shown below.
Walls:
$1.00
A rectangular solid has a base with two sides of
length x and y and a height of length z. The base and the face
opposite it are shaded.
xx
yy
zz
Floor:
$4.00
Ceiling:
$4.00
What dimensions of the terrarium will minimize the total cost?
What is the minimum cost?
x=------ft...
A rectangular box with a volume of 272 ft. cubed is to be constructed with a...
A rectangular box with a volume of 272 ft. cubed is to be
constructed with a square base and top. The cost per square foot
for the bottom is15cents, for the top is10cents, and for the other
sides is 2.5 cents. What dimensions will minimize the cost?
What are the dimensions of the box?
The length of on side of the base is ___
The height of the box is___ (Rounds to one decimal place as
needed)
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 20 ft3. If the material for the base costs
$0.28/ft2, the material for the sides costs $0.10/ft2, and the
material for the top costs $0.22/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 is to have a square base and a volume of 16 ft3. If...
A rectangular box is to have a square base and a volume of 16
ft3. If the material for the base costs
$0.14/ft2, the material for the sides costs
$0.06/ft2, and the material for the top costs
$0.10/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.
Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to...
Minimizing Heating and Cooling Costs A building in the shape of
a rectangular box is to have a volume of 6,144 ft3 (see the
figure). It is estimated that the annual heating and cooling costs
will be $2/ft2 for the top, $4/ft2 for the front and back, and
$3/ft2 for the sides. Find the dimensions of the building that will
result in a minimal annual heating and cooling cost. What is the
minimal annual heating and cooling cost? The base...
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...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 28 minutes ago
asked 29 minutes ago
asked 33 minutes ago
asked 34 minutes ago
asked 34 minutes ago
asked 53 minutes ago
asked 55 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago