A closed rectangular box having a volume of 
is to be constructed. If the material for the sides costs 
and the material for the top and bottom costs 
, find the dimensions of the box that can be constructed with minimum cost.
Definitions:
Standard Materials Price
The predetermined cost per unit of material that is used for budgeting and cost control purposes in manufacturing.
Direct Materials
Raw materials that are directly incorporated into a finished product and are a significant part of the manufacturing process.
Standard Materials Price
The price set for budgeting purposes for materials in manufacturing, often used in variance analysis.
Standard Materials Price
The pre-determined cost assigned to materials used in production, for budgeting and variance analysis purposes.
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