A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. determine the dimension that should be used to maximize the area, and find the area, and find the area of each individual corral.

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Assume that the side length of the river side is x So AB=x Being a rectangle CD=x Now total fence…

Q: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

A: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

Q: A farmer needs to put in a fence in their rectangular field. If we look at the field from above, the…

A: Given that the fencing of the field for east side and west side are $10/feet , cost of the south…

Q: A closed rectangular box is to have a volume of 250 cubic centimeters. If the material for the top…

A: Given:  Volume=250 cm3

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to…

A: Given: The garden is to be 1,250 square feet. To minimize the cost

Q: A box, with a square base is to have a volume of V = 360 cubic inches. The cost for the materials of…

A:

Q: A farmer has 500 ft of fence for constructing a rectangular corral. One side of the corral will be…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Here we use rhe application of derivative.

Q: A rectangle measuring 15 inches by 42 inches is to be made into a box with an open top by cutting…

A: applying second derivative test to find maximum volume

Q: a rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

A: Consider the given information.

Q: A rectangular poster is to contain 800 square inches of print. The margins at the top and bottom of…

A: Given data: Area of the poster which contains print is: A = 800 in2 Margin at top and bottom is: x0…

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to…

A:

Q: Your new puppy needs a rectangular dog run outside . You have 50 feet of fencing and plan to use the…

A: To maximize the area , we use Lagrange multipliers.

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given:- A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

Q: Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A:

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will…

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter…

Q: A farmer wishes to build a rectangular fence and has 800 meters of fencing material with which to…

A:

Q: A rectangular poster is to contain 722 square inches of print. The margins at the top and bottom of…

A: Follow the procedure given below.

Q: Find two numbers with difference 130 and whose product is a minimum.

A:

Q: A man wants to fence 3 sides of his rectangular property with 1000 ft. of barbed-wire fencing. The…

A:

Q: A homeowner wants to build, along her driveway, a garden surrounded by a fence.   If the garden is…

A: Let the length (in feet) of the garden along the driveway and perpendicular to driveway be x and y…

Q: An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by…

A:

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A: Given query is to find the dimensions of the gardern to minimize the cost.

Q: Farmer Ed has 700 700 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

A:

Q: The volume of the box is 54 cubic inches. The material for the top cost $0.08 per square inch, for…

A:

Q: A rancher plans to make four identical and adjacent rectanglar pens against the barn each with an…

A: Let the length and width of the rectangular pen against barn be x and y. Consider the four identical…

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A:

Q: A rectangular poster is to contain 128 square inches of print. The margins at the top and bottom of…

A: Let the length of the rectangle be x Length after 1 inches of margin = x-2  inch The breadth of…

Q: The fencing of the left border costs $5 per foot, while the fencing of the lower border costs $1 per…

A: Find  left border ft = bottom border ft = garden area ft2.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Topic:- application of derivatives

Q: A pience of cardboard is 14 inches by 10 inches and the corners were to be cut out and fold up the…

A:

Q: Your job as an engineer is to design a right circular cylinder (i.e., a soup can) whose volume will…

A: Given that:- Volume is to be maximized. Sum of perimeter of circular base =2πr Let height =h in Let…

Q: A supermarket is designed to have a rectangular floor area of 3750 m² with 3 walls made of cement…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given that a rectangular bird sanctuary is created with one side along a straight river bank. Then…

Q: Farmer Ed has 900 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Here it is the application of derivatives.

Q: A rectangular poster is to contain 648 square inches of paint. The margins at the top and bottom of…

A:

Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of…

A: Let the height of the poster = x inch  Let the breadth of the poster = y inch  Height of the print…

Q: A gardener has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing…

A: GivenAmount of fence available=60 yards

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: First draw a picture and let the length of the bank of the river be l and then solve.

Q: A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom of…

A: Given: The area of the poster is 648 square inches. The following diagram shows all the…

Q: Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Given that The total fancing=750meters. The length lebeled = 750-2x meters The width lebeled=x…

Q: A piece of land next to a stream is to be divided into three adjacent fields and then fenced so that…

A: One side is covered with stream and not needed any fencing. Total area to be fenced is 800 ft².…

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.

Q: The principal of a private elementary school wants to contruct a rectangular garden. She wants it to…

A: To Determine: The principal of a private elementary school wants to construct a rectangular garden.…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a…

A:

Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

A: