Use the Quadratic Function to Determine If the Function Has $$f ( x ) = x ^ { 2 } - 18 x + 87$$

question 59

Multiple Choice

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value.
- $$f ( x ) = x ^ { 2 } - 18 x + 87$$

• A) minimum at \(( 9,6 )\)
• B) maximum at \(( 6,0 )\)
• C) maximum at \(( 6,9 )\)
• D) minimum at \(( 0,9 )\)

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Definitions:

Long Run

A period in which all factors of production and costs are variable, allowing for full adjustment to changes.

Variable Factors

Inputs to production that can be adjusted in the short term, such as labor and raw materials.

Fixed Costs

Expenses that do not change with the level of output, such as rent or salaries.

Average Total Cost

The total cost of production divided by the quantity of output produced, representing the per unit cost of production.