Math Problem Statement
Find the minimum cost of a rectangular box of volume 200 cm3 whose top and bottom cost 2 cents per cm2 and whose sides cost 5 cents per cm2. Round your answer to nearest whole number cents.
Solution
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Math Problem Analysis
Mathematical Concepts
Optimization
Multivariable Calculus
Cost Functions
Formulas
Cost calculation formulas for rectangular box
Theorems
Calculus of Variations
Lagrange Multipliers
Suitable Grade Level
Advanced College Level