Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it. (b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. (c) Write an expression for the total area A in terms of both x and y. A = (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of one variable. A(x) = (f) Finish solving the problem by finding the largest area. | ft2 Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it. (b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. (c) Write an expression for the total area A in terms of both x and y. A = (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of one variable. A(x) = (f) Finish solving the problem by finding the largest area. | ft2
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed?...
-
A farmer with 10,000 meters of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel to one of the sides. See the figure.What is the largest area that...
-
A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can...
-
Convex Mechanical Supplies produces a product with the following costs as of July 1, 2012: Material ............................... $ 6 Labor .................................. 4 Overhead...
-
Superior Jig Co. has developed a new jig for which it expects net returns as follows. Year 1: .. $8000 Years 2 to 6 inclusive: .. $12 000 per year Years 7 to 10 inclusive: .$6000 per year The initial...
-
Seven small metal spheres are arranged in a hexagonal pattern as illustrated in Figure 22.35. Spheres 1 and 7 carry equal amounts of positive charge; the other spheres are uncharged. (a) To give...
-
Waste gas \(\left(\mathrm{CO}_{2} ight)\) is vented to outer space from a spacecraft through a circular pipe \(0.2 \mathrm{~m}\) long. The pressure and temperature in the spacecraft are \(35...
-
Refer to Problem 7.25 for Stebbins Corporation for Year 1, its first year of operations. Exhibit 7.39 shows the amounts for the Canadian subsidiary for Year 2. The average exchange rate during Year 2...
-
Design a rater training program that will help supervisors assess the performance of their subordinates as accurately as possible. What techniques will you include? What important variables can...
-
create a general journal, general ledger, accounts recievable ledgar, accounts payable ledgar, inventory COGS calculations, trial balance at 12 31 2014, financial statements, post closing trial...
-
Write a short note on Examining a Learning Organization Google
-
Using real-world examples, discuss the potential conflict between low inflation and low unemployment
-
Identify whether each of the following is an example of adverse selection or moral hazard and why: a. A sawmill threatens to close down because of tight new environmental regulations. b. Smog checks...
-
Consider the case of a regulator and a single polluter. Suppose the regulator knows the marginal damage from pollution but is unsure about the firm's marginal savings from emitting. The regulator...
-
You couldnt be more excited about being on your first financial statement audit as you launch into your new professional accounting career. Having recently graduated with a Master of Accountancy...
-
Using real-world examples, evaluate the arguments for protectionism.
-
Given f(x, y) = 7x - 3xy + 2y, f= < Then Vf(4,2) =
-
When the Department of Homeland Security created a color-coded system to prepare government officials and the public against terrorist attacks, what did it do right and what did it do wrong?
-
Find the value of each expression if x = 2 and y = -1. -3x -1 y
-
Explain in your own words what the term compound interest means.What does continuous compounding mean?
-
Solve the triangle. 125 10 30
-
One of the main fears that retail startups have is if they will be able to compete against Walmart, Home Depot, and the other big-box stores. This is a legitimate fear. Big-box stores continue to...
-
Influencer marketing is a type of marketing where companies partner with influencers, who have a significant following on social media platforms, to promote their products or services. Influencers...
-
In the summer of 2015, Stephen Kuhl and Kabeer Chopra made their way to Philadelphia to prepare for business school. It was their first semester in the Wharton MBA program. They were both in an...
Study smarter with the SolutionInn App