How would you divide a 27 inch line into two parts of length A and B so that A+B=27 and the product AB is maximized? (Assume that A is less than or equal to B)  A= B=

Q: 2. A boat on a lake is 3 miles from the nearest point on a straight shoreline. That point is 5 miles…

A: Consider the given information and the figure:

Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: need help with 2and 3 not number 1 !!!

A: Let x and y be the length of sides of rectangle along x-axis and y-axis respectively. Then , the…

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: Note:- As per our guidelines, we'll answer the first one as both are different question. Please…

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: A box with no top is to be built by taking a 12"-by-16" sheet of cardboard and cutting x-in. squares…

A:

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

A: Given  Cx = 2.5x2+75x+25000

Q: A rectangular lot is to be fenced in using two different kinds of fencing. Three sides will be…

A: Given that, Three sides of rectangular land will be fenced using standard fencing that costs $7 per…

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: a. Let the dimensions of the pen be x m and y m.  Now, the length of the perimeter to be covered by…

Q: a. A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the number in the interval [ – 1, - 0.25] so that the sum of that number and its square is…

A:

Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

Q: . A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: l+2w=1400; l=1400-2w; l=2(700-w); are=lw ; so, lw=2(700-w)w =(1400w-2w^2);  to maximize,…

Q: A rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

A:

Q: Find two nonnegative numbers x and y for which 2x + y = 30, such that xy2 is maximized.

A: Given that, 2x + y= 30 y = 30 - 2x ................... (1) The function is: f(x, y) = xy2  f(x) = x…

Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

Q: a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the…

A: a) Let x represents the width of the pen and y represents the length of the pen. Given that, the…

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

A:

Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What…

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120

Q: A rectangular lot is to be fenced in using two different kinds of fencing. Three sides will be…

A:

Q: A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: Define the livable space of a building to be the volume of space in the building where a person 6…

A:

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

A:

Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

A:

Q: A company has determined that for product A,150 units are demanded if price RM40, and 100 units are…

A: Here, given that 150 units are demanded if price RM40, and 100 units are demanded if the price is…

Q: In a world where people's happiness is the product of the square of the amount of one's food which…

A:

Q: A boat on the ocean is 9 km from the nearest point on a straight shoreline; that point is 10 km from…

A:

Q: Afarmer finds that if she plants 100 trees per acre,, each tree will yield 40 bushels of fruit. She…

A:

Q: | (1 – a*)dæ (1 — а?) а

A:

Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

A:

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

A:

Q: A merchant wants to create a rectangular display area in front of her store. The area is to be…

A:

Q: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 7 mi from…

A:

Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

A:

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A:

Q: Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy…

A:

Q: With only 600 m2 of materials, a closed cylindrical tank is to be made. What should be the height of…

A: Let's find.

Q: A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is 5 miles…

A: Given- A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is…

Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

A: I am attaching image so that you understand each and every step.

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to…

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants…

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 7 mi from…

A: a) Let x be the distance between nearest point and point on which she lands, r be the rowing…

Q: a. A rectangular pen is built with one side against a barn. If 1200 m of fencing are used for the…

A:

Q: Two chicken coops are to be built adjacent to one another from 144 ft of fencing. Part: 0/ 2 Part 1…

A: Two chicken coops are to be built adjacent to one another from 144 ft of fencing To find dimensions…

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: An area to fence is of 37.5 million square feet in a rectangular field.