Solve the initial-value problem. 
Definitions:
Total Cost
The complete cost of production, including both fixed and variable costs.
Average Variable Cost
The cost per unit of producing goods or services that changes with the level of output, including costs like labor and materials, divided by the quantity of output produced.
Average Total Cost
The total cost divided by the quantity of output produced, representing the per-unit production cost.
Marginal Cost
The increase in cost resulting from the production of one additional unit of a good or service.
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