Optimization Problem
A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container. Answer needs to be rounded to the nearest penny.
I am really close to getting the answer and cant quite get it. I got C(w)= 60w^2+450/w for one and 60w^2+675/w for my other answer and it doesnt seem to be working on webwork. I got about 15 different answers from trying different stuff, but cant seem to find the right answer
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A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container. Answer needs to be rounded to the nearest penny.
I am really close to getting the answer and cant quite get it. I got C(w)= 60w^2+450/w for one and 60w^2+675/w for my other answer and it doesnt seem to be working on webwork. I got about 15 different answers from trying different stuff, but cant seem to find the right answer
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