Products of linear functions
Fencing two areas: an optimization problem
Owners of a farm want to fence in two areas, one for goats and one for sheep,
in the following manner:
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Providing maximum fenced-in area with a fixed length of fence
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Raise conjectures: What ways of fencing can you
conceive of as candidates for the plan that provides maximum
area for the animals -- given a fixed length of fence?
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Construct an appropriate function and
investigate it in order to find the best fencing plan.
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Is the best fencing plan among the conjectures
you raised, or does the result surprise you?
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Generalize the investigation to a case where
3 or more areas need to be fenced.
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