QUESTION 8 Suppose a manufacturer of a clothes dryer found that when the unit price is x dollars, the revenue R (in dollars) is given by: R(x)=4000x - 4x- a) What unit price should be established to maximize the revenue? b) What is the maximum revenue?

Q: 4. The total cost of producing q radio sets per day is given by C(q) =q² + 35q + 25 and the price…

A: The profit function is given by the formula . The Revenue function is the product of the number of…

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 14 mi from…

A: We have to find the distance on shore to minimized travel time.

Q: Question 2: Anopentop box is to be made by cutting congruent squares of side length x from each…

A:

Q: 2. An orange grower has 400 crates of fruit ready for market and will have 20 m day the grower…

A: We will create function and use derivative to maximize it

Q: A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 11 mi from…

A:

Q: Question 5: We want to construct a box whose base length is 3 times the base width. The material…

A: Volume of the box = lwh

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

A:

Q: A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is…

A:

Q: 1. Find the minimum point of the following curve. Express your answer in this form (#,#) or N/A if…

A: We will use the fact that the derivative of y with respect to x is zero at the point of extrema. The…

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

A:

Q: QUESTION 7 Write your own quadratic functions that opens up and takes minimum value of 4.

A: Explained below

Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

A:

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 9 mi from…

A: We have given the distance from the boat (considering point B) to nearest point (considering point…

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 rectangular box without lid is to be made from a square cardboard of sides 18cm by cutting equal…

A:

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

Q: Question 9 A farmer wishes to fence in a rectangular plot of land with one side running along a…

A: topic - application of derivatives

Q: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6 mi from…

A:

Q: Question 5 Suppose that you want to create a rectangular animal enclosure using 80 linear feet of…

A:

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

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: An island is 3 kilometers due north of its closest point along a straight shoreline. A visitor is…

A: Choose the point Q in between the Shoreline, and consider the path PQR. Let x be the distance that…

Q: Question 4 It has a local/relative maximum when x = A 2 B В) 1 c) o D -2

A: Given, The function  y=fx and the first derivative y' =xx-2 We have to find the relative maximum of…

Q: Question Four For the total cost function C(x) = 3x2 + 100x + 3000 and the total revenue function…

A:

Q: Helen has 28 m of fencing which she can use to surround a pen for her pigs. What is the maximum area…

A: we know that square have maximum area in four side polygon so, given pen will be a square we know…

Q: Applied Optimization Problem 1. You need to construct a fence around an area of 1600 ft. What are…

A:

Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15 mi from…

A: Given- A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15…

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 12 mi from…

A: Given a boat in the ocean is 5 mi from the nearest point on a straight shoreline that point is 12 mi…

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

A:

Q: A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is…

A: Given A rock formation is 3 miles due north of its closest point along a straight shoreline. A…

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles…

A: According to the question, x is the distance between the nearest point on a shoreline and the point…

Q: Suppose a company has a cost function C(x)= 1600-22x+xsquare and the revenune function R(x)=…

A:

Q: Question 7 Express x - 5x +7 in the form (x+ A)´ +B where p and q are integers. Hence write down the…

A:

Q: 1. Find the maximum point of the following curve. <press your answer in this form (#,#) or N/A if…

A: Differentiate the given function with respect to x and then solve y'= 0 to obtain the critical…

Q: Question 11 11. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and…

A:

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 16…

A:

Q: In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded…

A:

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: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

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: Suppose that a company produces 40,000 parts over the course of the year. Each production run costs…

A: