A calculus problem by Brilliant Member

Calculus Level 3

A rectangular field is to be fenced off along the bank of a river where no fence is required along the bank. If the material for the fence costs \($12\) per running foot for the two ends and \($18\) per running foot for the side parallel to the river, find the largest possible area in \(ft^2\) that can be enclosed with \($5400\) worth of fence.

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