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\noindent {\bf Problem statement} A rectangular box with an open top
has a square base. The sides are made of cardboard, costing 3 cents
per square foot. The base is made of plywood, costing a half dollar
per square foot. The box should have a capacity of no more than 10
cubic feet and no less than 2 cubic feet.  At the same time, due to
limitations of construction, no edge of the box should be shorter than
3 inches or longer than 36 inches. Find a plausible domain for the
dimensions of the box based on these specifications and describe the
domain carefully, algebraically.  Sketch the domain in ${\bf
R}^2$. (You {\it must}\/ give a complete algebraic description of the
domain, however. The picture is {\it not}\/ a substitute for this
description.) Write a formula for a function which calculates the cost
of the materials in each possible box.

% This problem is inspired by the restrictions which the U.S. Post
% Office imposes on certain kinds of packages. 

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