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Optimization: a) You are attempting to use 1000 yards of fencing to make one rectangular pasture. What’s...

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Basic Math

Optimization:

a) You are attempting to use 1000 yards of fencing to make onerectangular pasture. What’s the largest pasture you can make, andwhat are the lengths of the sides of the fencing? (First, write afunction A(x) that expresses the total area in terms of the widthx.)

b) Using the same amount of fencing (1000 yards) to make tworectangular pastures of equal area, what are the largest pasturesyou can make, and what are the lengths of the sides of thefencing?

c) Using the same amount of fencing to make n pastures?

d) Write an equation for A(x) based on n pastures. Then take thederivative and check your answer.

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