The Cost Associated with Storing $x$ Units of a Certain Product Is Given by the Function

question 115

Essay

The cost associated with storing $x$ units of a certain product is given by the function $C ( x ) = 0.8 x ^ { 2 } - 12.8 x + 2600$ where $C$ is measured in of dollars and $x$ in hundreds of units.
(a) For what values of
$x$ will the cost be decreasing? increasing?
(b) What is the minimum cost?

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Definitions:

Familial Status

Refers to an individual's position or role within a family, including aspects such as being a parent, child, or sibling.

Parent-Child Relationship

The dynamic and complex bond between a parent and their child, encompassing aspects of care, love, guidance, and support.

Adoption

The legal process by which a person or a couple becomes the legal parents of a child that is not biologically theirs.

Differing Personality

The unique set of emotional, thought, and behavior patterns that define an individual’s personal identity and distinguish them from others.