The outside fence costs 10 per running foot installed and


Optimization at a fixed cost

A rectangular area is to be enclosed and divided into thirds. The family has $800 to spend for the fencing material.

The outside fence costs $10 per running foot installed, and the dividers cost $20 per running foot installed. What are the dimensions that will maximize the area enclosed?

(The answer contains a fraction.)

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Other Engineering: The outside fence costs 10 per running foot installed and
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