Find the Critical Point(s) of the Function

question 85

Multiple Choice

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.

• A) (1, 5) and (2, 5); saddle point: f(1, 5) = - 47; relative minimum value: f(2, 5) = - 48
• B) (1, 5) and (2, 5); relative maximum value: f(1, 5) = - 48; relative minimum value: f(2, 5) = 47
• C) (1, 5); saddle point: f(1, 5) = - 47
• D) (2, 5); relative maximum value: f(2, 5) = 48
• E) there are no critical points

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Definitions:

Escrows Completed

Escrows completed refers to the number of escrow arrangements that have been successfully closed, typically in real estate transactions, ensuring the transfer of property is secure and all conditions are met.

Relevant Range

The range of activity or production level within which the assumptions of cost behavior hold true for a certain cost function.

Machine-Hours

A measure of the amount of time a machine is operated, used as a basis for allocating manufacturing overhead to products.

Overhead Cost

Expenses related to the operation of a business that are not directly tied to a specific product or service, including rent, utilities, and administrative salaries.