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The Material for Constructing the Base of an Open Box

question 10

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The material for constructing the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. For a fixed amount of money $150.00, find the dimensions of the box of largest volume that can be made.


Definitions:

Hydrobromic Acid

A strong acid consisting of hydrogen bromide in water, used in the synthesis of bromine compounds.

Benzoic Acid

An aromatic carboxylic acid with the formula C6H5COOH, used in the production of numerous industrial chemicals and as a food preservative.

Deprotonation

The removal of a proton (H+) from a molecule, resulting in the formation of its conjugate base.

Resonance Structures

Different Lewis structures that represent the same molecule, showing the delocalization of electrons within the molecule.

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