Question: 1) A rectangular pen with three parallel partitions is built using 500 ft of fence. What dimensions will maximize the total area of the

1) A rectangular pen with three parallel partitions is built using 500 ft of fence. What dimensions will maximize the total area of the pen? 2) Consider a rectangle of perimeter 12. A cylinder is formed by revolving the rectangle about one of its edges. What dimensions of the rectangle would create the cylinder of maxumum volume?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 To maximize the total area of the pen we need to find the dimensions that will result in the maxim... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past 5 years are shown below. 37 49 24 67 25 13 55 12 50 5 15 43 43 102 32 19 13 50 22 3 17 27 90 25...

Blackstone Incorporated had the following selected account balances at the end of 2014: Work in process $200,000 Finished goods 150,000 Cost of goods sold 250,000 Factory overhead (overapplied)...

The Lead Balloon is a popular '80s rock band that broke up in the 1990s but recently got back together to publish a new CD and go on tour. They want to schedule a summer tour that will encompass 16...

Based on the following contingency table, answer the questions below: VISMIN Visible minority status of the respondent TOTMC Number of victimizations - Excludes (ex-)spousal (ex-) partner 0 Not...

6. A spherical balloon is being inated at the rate of 30 1':_;]_ At what rate is the radius changing at the moment in time, when the radius has reached has reached 10 m? Assume that the radius is...

Homework PDF HW 1116 Exam Next Tuesday, November 23, 2021 Answer all questions, show all work, submit your work as PDF file. 1. A farmer has 480 meters of fencing with which to build two animal pens...

Is Built with one side against a bam If 1000 m of fencing are used for the other three sides of the pen what dimensions maximize the area of the pen b A rancher plans to make four identical and...

Test Review 4 Math 1241 Name:_______________________________________ Chapters/Sections 3.7 - 4.7 Part I - Multiple Choice - You must show ALL your work to receive credit For #1-5, Use L'Hospital's...

1. Two triangular pens are built against a barn. Four hundred forty meters of fencing are to be used for the Barn three sides and the diagonal dividing fence (see figure). What dimensions maximize...

please, if you can explain on a piece of paper, I would appreciate it. I have tried doing most questions, but some are just too tough MCV4U OPTIMIZATION PROBLEMS art A: Working with Equations 1. The...

A large cylindrical tank contains 0.750 m3 of nitrogen gas at 27C and 1.50 X 105 Pa (absolute pressure). The tank has a tight fitting piston that allows the volume to be changed. What will be the...

G Company is considering the takeover of K Company whereby it will issue 6,000 common shares for all of the outstanding shares of K Company. K Company will become a wholly owned subsidiary of G...

Evaluate the function f ( X ) = 1 X 4 at the points X = - 1 , - . 5 , 0 , . 5 , 1 f ( 1 ) = ? f ( . 5 ) = ? f ( 0 ) = ? f ( . 5 ) = ? f ( 1 ) = ? ? f ( X ) is an integer at X = 1 , 0 , & 1 . f ( X )...

ACCESS the Texas Education Agency Website at www.tea.state.tx.us. At the TEA home page, SELECT F from the A-Z index, then SELECTS the TEAs Financial Accountability System Resource Guide link and OPEN...

Use Fuji Heavy Industries latest annaul report to answer all aspects of the questions below: ( https://www.subaru.co.jp/en/ir/library/pdf/ar/ar_2016e.pdf ) Other Wise now known as subaru i)What...

Teras Berhad has collected the following information after its first year of sales. Top management has asked you to prepare a Cost-Volume-Profit (CVP) analysis so they can plan for the coming year....

Mickey & Co. expects overhead costs of $26,250 per month and direct production costs of $27 per unit. The estimated production activity for the 2013 accounting period is as follows: 1st Quarter...

Today, Garrett Bauer (44) of New York, NY was sentenced to 9 years in prison after agreeing last December to plead guilty to charges of trading stocks based on confidential information related to...

Can we put that she will be making weekly payroll deductions inthe amount of $52.75 to the housing equalling $211.00 monthly

Use the matrix capabilities of a graphing utility to find the determinant of the matrix. 1. 2. 3. 4. 5. 6. 3 -2 -9 [7 16

Find the determinant(s) to verify the equation. 1. 2. 3. y Z. || y cz

Use the figure to determine the tension (in pounds) in each cable supporting the load. 10 in. 20 in. 24 in. 5000 lb

Ed and Harry believe that ghosts are running rampant in a nearby town. When looking for information on the Internet, they ignore any sites that are skeptical of their beliefs and only visit sites...

Explain how language develops.

How might you determine whether flute-playing ability is a highly heritable trait? If you want to improve your flute playing and someone tells you that musical ability is heritable, should you stop...