The stories you are about to read about your classmates are true; only the names have been changed to protect the innocent. For each of the stories encountered below you will need to: a) Draw a diagram with all relevant constants and variables labelled. b) Write a function expressing the quantity to be minimized/maximized function of one other variable. Show all the work required to formula. as a derive this c) State the domain of the function covering all possible configurations your problem. for d) Compute the derivative and determine all critical points of the function. e) Analyze all critical points and endpoints to determine the minimum/maximum. 1) To relieve stress from doing homework problems, Julie has taken up gardening. She has designed her garden plot in the shape of a circular sector with radius R and angle 0. Based on the amount of vegetables she wants to grow, Julie has determined the garden should have an area of 30 square feet. She needs to build an electric fence around the perimeter to keep Joe out of the tomatoes. Find the dimensions R and 0 which will minimize the length of fence Julie will need to build.

The stories you are about to read about your classmates are true; only the names have been changed to protect the innocent. For each of the stories encountered below you will need to: a) Draw a diagram with all relevant constants and variables labelled. b) Write a function expressing the quantity to be minimized/maximized function of one other variable. Show all the work required to formula. as a derive this c) State the domain of the function covering all possible configurations your problem. for d) Compute the derivative and determine all critical points of the function. e) Analyze all critical points and endpoints to determine the minimum/maximum. 1) To relieve stress from doing homework problems, Julie has taken up gardening. She has designed her garden plot in the shape of a circular sector with radius R and angle 0. Based on the amount of vegetables she wants to grow, Julie has determined the garden should have an area of 30 square feet. She needs to build an electric fence around the perimeter to keep Joe out of the tomatoes. Find the dimensions R and 0 which will minimize the length of fence Julie will need to build.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 40E

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