# Least Expensive!

Calculus Level 3

A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is $$2\text{ m}$$ and volume is $$8 \text{ m}^3.$$ If the building of the tank costs $$\ 70$$ per square meter for the base and $$\45$$ per square meter for the sides.

What is the cost of the least expensive tank?

• Submit your answer in $$\.$$
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