2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in area. You want to find the length and width of each pen so that the least amount of fence is used. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):
2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in area. You want to find the length and width of each pen so that the least amount of fence is used. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi there, please help me with solving this problem please. Please clearly indicate all parts of answer(s). I would really appreciate if you could include all steps to solve the problem as well. Thank you very much!
Transcribed Image Text:Guidelines for Optimization Problems
Read the problem carefully, identify the variables, and organize the given information with
a picture.
1.
Identify the objective function (the function to be optimized). Write it in terms of the
variables of the problem.
2.
3.
Identify the constraint. Write them in terms of the variables of the problem.
4.
Use the constraint to eliminate all but one independent variable of the objective function.
5.
With the objective function expressed in terms of a single variable, find the interval of
interest for that variable.
Use methods of calculus to find the absolute maximum or minimum value of the objective
function on the interval of interest. If necessary, check the endpoints.
6.
Transcribed Image Text:2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in area.
You want to find the length and width of each pen so that the least amount of fence is used.
Quantity to optimize (with formula if possible):
Constraint:
Domain (fill in after getting a single-variable formula):
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