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

Optimization:

a) You are attempting to use 1000 yards of fencing to make one rectangular pasture. What’s the largest pasture you can make, and what are the lengths of the sides of the fencing? (First, write a function A(x) that expresses the total area in terms of the width x.)

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

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

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

Expert Solution

milcah answered 2 years ago

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