Homework Answers
A fence is to be built to enclose a rectangular area of 230 square feet
A fence is to be built to enclose a rectangular area of 230 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
7. 10 pt A fence is to be built to enclose cows in a rectangular area...
7. 10 pt A fence is to be built to enclose cows in a rectangular area of 200 square feet. The fence along three sides is to be made of material that costs $5 per foot, and the material for the fourth side costs $16 dollars per foot. Find the dimensions of the enclosure that minimize cost, and give the minimum cost to build the fence.
3. (20pts) a. (10pts) A storage shed is in the shape of a pyramid with square base of length L an...
only part b of Q3 will be highy appericiated
3. (20pts) a. (10pts) A storage shed is in the shape of a pyramid with square base of length L and height H in meters. Derive a formula for the volume of the shed using slicing. (Note: the best answer has evaluated the integral.) b. (10pts) Suppose the shed contains a material whose density is proportional to the distance from the top, so that 6(v)-k(H - v) kilograms per cubie meter...
3) You are constructing a 12 cubic feet box that is open at the top. The...
3) You are constructing a 12 cubic feet box that is open at the top. The material used to construct the bottom costs $3 per square foot and the material used to construct the sides is $1 per square foot. What dimensions should you use to minimize the cost of the materials? Set up and solve using the LaGrange method.
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
A commercial cherry grower estimates from past records that if 25 trees are planted per acre,...
A commercial cherry grower estimates from past records that if 25 trees are planted per acre, then each tree will yield an average of 37 pounds of cherries per season. If, for each additional tree planted per acre (up to 22), the average yield per trae is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? pounds, trees should be planted per In order to...
Problem 2 A company needs to order the material needed for constructing rectangular crates. The sides of these crat...
Problem 2 A company needs to order the material needed for constructing rectangular crates. The sides of these crates need to be a wire fencing material that can only be cut into whole number lengths and widths in order to properly assemble the crate. The crate is the shape of a right-rectangular prism. The sides of these crates are wire fencing that costs $5 or $6 per square foot (choose one). The top of these crates are made of hardwood...
(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 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?
An open box is to be constructed so that the length of the base is 4...
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...
7. 10 pt A fence is to be built to enclose cows in a rectangular area of 200 square feet. The fence along three sides is to be made of material that costs $5 per foot, and the material for the fourth side costs $16 dollars per foot. Find the dimensions of the enclosure that minimize cost, and give the minimum cost to build the fence.
only part b of Q3 will be highy appericiated
3. (20pts) a. (10pts) A storage shed is in the shape of a pyramid with square base of length L and height H in meters. Derive a formula for the volume of the shed using slicing. (Note: the best answer has evaluated the integral.) b. (10pts) Suppose the shed contains a material whose density is proportional to the distance from the top, so that 6(v)-k(H - v) kilograms per cubie meter...
3) You are constructing a 12 cubic feet box that is open at the top. The material used to construct the bottom costs $3 per square foot and the material used to construct the sides is $1 per square foot. What dimensions should you use to minimize the cost of the materials? Set up and solve using the LaGrange method.
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
A commercial cherry grower estimates from past records that if 25 trees are planted per acre, then each tree will yield an average of 37 pounds of cherries per season. If, for each additional tree planted per acre (up to 22), the average yield per trae is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? pounds, trees should be planted per In order to...
Problem 2 A company needs to order the material needed for constructing rectangular crates. The sides of these crates need to be a wire fencing material that can only be cut into whole number lengths and widths in order to properly assemble the crate. The crate is the shape of a right-rectangular prism. The sides of these crates are wire fencing that costs $5 or $6 per square foot (choose one). The top of these crates are made of hardwood...
(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...
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...
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