Find the dimensions of the rectangular box with largest volume if the total surface area is given as 
.
Definitions:
Isocost Line
A graphical representation that shows all possible combinations of inputs that cost the same amount of money.
Isoquant
An isoquant is a curve that represents all the combinations of inputs that result in the production of a given level of output, illustrating the concept of production efficiency.
Tangency
The point at which two curves meet without intersecting, often used in economics to denote the point of optimal allocation of resources.
Output
The total amount of goods or services produced by a firm or economy over a specific period.
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