(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1000m^2 garden. 3 sides made of wooden fence. 1 side made of vinyl(costs 5x as much as wood).

Length cannot be more than 30% greater than the width.

Find the dimensions for the minimum cost of the fence.

2. Relevant equations

1000 = LW

C = 2L + W + 5W

3. The attempt at a solution

Attempted ignoring the restriction. Answer does not meet restriction. Solved algebraically for the only rectangle where L = 1.3W and L = 1000/W. It is a calculus question and it is therefore suspected that this is not the answer. The minimum cost is not necessarily when the vinyl side is minimal.

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# Optimization with Constrained Function

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