) An apple orchard has an average yield of 36 bushels of apples per tree if the tree density is 22 trees per acre. For each unit increase in tree density, the yield decreases by 2 bushels per tree. How many trees per acre should be planted to maximize the yield?

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: A piece of cardboard measuring 13 inches by 12 inches is formed into an open-top box by cutting…

A:

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: 5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a…

A:

Q: Assume that it costs a manufacturer approximately C(x) = 800,000 + 340x + 0.0005x2 dollars to…

A: In this question, optimization technique is used. Optimization Technique using maxima and minima The…

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: Let x m make a square.So each side= x/4 mArea of the square = (x/4)^2= x^2/16 m^2

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A:

Q: You are at a Halloween party and the hostess hands each guest a piece of square cardboard measuring…

A: Let the length of the side of each square cut off from the corners be x inch. Then, height of the…

Q: A piece of cardboard measuring 8 inches by 10 inches is formed into an open-top box by cutting…

A:

Q: A piece of rectangular sheet metal is 10 inches wide. It is to be made into a rain gutter by turning…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangular cross-section…

Q: A Ferris wheel is 30 meters in diameter, turns counterclockwise, and is boarded at the six o’clock…

A:

Q: e) A farmer wishes to enclose three pens with fencing, as shown. If the farmer has 700 feet of…

A: 700 feet of fencing to work .

Q: 9. The backyard of a property is to be fenced off in a rectangular design. Fencing is only needed on…

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 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: A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: ) Amran is constructing a rectangular box with a square base and an open top. The box must have a…

A: Let the side of the box be x cm and the height of the box is h cm Therefore, the volume of the box…

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

A:

Q: S, the area of a rectangle with a fixed perimeter increases, reaches a maximum, and then decreases.…

A:

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…

Q: A person is an apple tree farmer. She currently has 35 apple trees per acre, and each tree will…

A: The equation can be generated from the given information by considering every situation. For the…

Q: If an open box is to be made using a square sheet of tin, 20 inches by 20 inches, by cutting a…

A:

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

A:

Q: Suppose the farmer makes the rectangular holding pen using an existing fence for one side. What…

A: Let the farmer makes the rectangular holding pen using an existing fence for one side.  let the…

Q: A piece of cardboard measuring 9 inches by 8 inches is formed into an open-top box by cutting…

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

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

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: 4) A 200-room hotel in Reno is filled every night at rate of $40 per room. For each $1 increase in…

A: we have been given that A 200-room hotel in Reno is filed every night at rate of $40 per room. For…

Q: All 100 units of a storage facility will be occupied if the monthly rent is $400. One additional…

A: It is given that, the monthly rent is $400 if all 100 units of a storage facility will be occupied.…

Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A:

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

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: The manager of a 100-unit apartment complex is trying to decide what to charge for rent. Experience…

A: Let the number of units vacant = x Revenue = 1600+100x×100-x Rx=160000+10000x-1600x-100x2…

Q: A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting…

A: The shape of the cardboard after cutting squares from each corner is as shown below

Q: When 300 apple trees are planted per acre, the annual yield is 1.6 bushels of apples per tree. For…

A: The number of apple trees to be planted is determined as shown below

Q: A ship leaves point A and sails north at the constant rate of 12 knots. Two hours later, a second…

A: lets assume speed of ship in north direction = dydt = 12 knots speed of sheep in east direction =…

Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

Q: A farmer wants to fence an area of 600 square feet in a rectangular field and then divide it in half…

A: Given that, A farmer wants to fence an area of 600 square feet in a rectangular field. After that,…

Q: An 6 in x 10 in sheet of paper is to be folded into a box, with one side open, by cutting squares in…

A:

Q: 3 A cube of ice is getting larger, increasing its volume by 30cm per minute. How fast are the side…

A:

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: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

Q: Exercise 2 The volume of a cube is increasing at the rate of 1200cm3/min at the instant its edges…

A: We have to find at what instant edges changing.

Q: moer of peces of eqipment used, pasn RU) asoddne C= 40,000x + 820,000 x >0 Using how many pieces of…

A:

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.