Question: A closed rectangular container with a square base is to have a volume of 300 pi in^3. The material for the top and bottom of

A closed rectangular container with a square base is to have a volume of 300 pi in^3. The material for the top and bottom of the container will cost $2 per in^2, and the material for the sides will cost $6 per in^2. Find the dimensions of the container of least cost.

a)Draw a picture, label variables and write

down a constrained optimization problem that

models this problem.

b) Using calculus, solve the problem in

part (a) to find the dimensions.

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