A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression 
where x (in thousands) is the number of units produced. What production range will enable the manufacturer to realize a profit of at least $18,000 on the commodity?
Definitions:
Depreciation
The reduction in the value of an asset over time due to wear and tear, usage, or obsolescence, this concept is often used in accounting to allocate the cost of an asset over its useful life.
Factory Equipment
The machinery and tools used in the manufacturing process within a factory setting.
Plant Manager
A person responsible for overseeing all daily operations of a manufacturing facility, ensuring efficiency, and meeting production targets.
Period Cost
Costs that are not directly tied to the production process and are expensed in the period in which they are incurred, such as selling and administrative expenses.
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